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Finding the Fourth Proportional to 516,211.38, 774,015.66 and 200,299.32

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Solution

The fourth proportional to 516,211.38, 774,015.66 and 200,299.32 is: 300,332.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,211.38 : 774,015.66 = 200,299.32 : x
  2. Step 2: Convert to fraction form
    516,211.38/774,015.66 = 200,299.32/x
  3. Step 3: Cross multiply
    516,211.38x = 774,015.66 × 200,299.32
  4. Step 4: Simplify right side
    516,211.38x = 155,034,810,367.35
  5. Step 5: Solve for x
    x = 155,034,810,367.35/516,211.38
  6. Step 6: Final answer
    x = 300,332.03

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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.