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Finding the Fourth Proportional to 516,202.42, 774,303.63 and 200,733.14

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Solution

The fourth proportional to 516,202.42, 774,303.63 and 200,733.14 is: 301,099.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,202.42 : 774,303.63 = 200,733.14 : x
  2. Step 2: Convert to fraction form
    516,202.42/774,303.63 = 200,733.14/x
  3. Step 3: Cross multiply
    516,202.42x = 774,303.63 × 200,733.14
  4. Step 4: Simplify right side
    516,202.42x = 155,428,398,963.30
  5. Step 5: Solve for x
    x = 155,428,398,963.30/516,202.42
  6. Step 6: Final answer
    x = 301,099.71

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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.