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Finding the Fourth Proportional to 516,000.11, 712,087.13 and 286,572.20

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Solution

The fourth proportional to 516,000.11, 712,087.13 and 286,572.20 is: 395,473.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,000.11 : 712,087.13 = 286,572.20 : x
  2. Step 2: Convert to fraction form
    516,000.11/712,087.13 = 286,572.20/x
  3. Step 3: Cross multiply
    516,000.11x = 712,087.13 × 286,572.20
  4. Step 4: Simplify right side
    516,000.11x = 204,064,372,591.78
  5. Step 5: Solve for x
    x = 204,064,372,591.78/516,000.11
  6. Step 6: Final answer
    x = 395,473.51

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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.