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Finding the Fourth Proportional to 513,965.59, 709,278.10 and 284,526.68

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Solution

The fourth proportional to 513,965.59, 709,278.10 and 284,526.68 is: 392,649.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,965.59 : 709,278.10 = 284,526.68 : x
  2. Step 2: Convert to fraction form
    513,965.59/709,278.10 = 284,526.68/x
  3. Step 3: Cross multiply
    513,965.59x = 709,278.10 × 284,526.68
  4. Step 4: Simplify right side
    513,965.59x = 201,808,540,332.46
  5. Step 5: Solve for x
    x = 201,808,540,332.46/513,965.59
  6. Step 6: Final answer
    x = 392,649.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.