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Finding the Fourth Proportional to 516,203.42, 774,305.13 and 200,734.14

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Solution

The fourth proportional to 516,203.42, 774,305.13 and 200,734.14 is: 301,101.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,203.42 : 774,305.13 = 200,734.14 : x
  2. Step 2: Convert to fraction form
    516,203.42/774,305.13 = 200,734.14/x
  3. Step 3: Cross multiply
    516,203.42x = 774,305.13 × 200,734.14
  4. Step 4: Simplify right side
    516,203.42x = 155,429,474,368.14
  5. Step 5: Solve for x
    x = 155,429,474,368.14/516,203.42
  6. Step 6: Final answer
    x = 301,101.21

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.