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Finding the Fourth Proportional to 514,086.58, 709,390.20 and 284,635.46

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Solution

The fourth proportional to 514,086.58, 709,390.20 and 284,635.46 is: 392,769.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,086.58 : 709,390.20 = 284,635.46 : x
  2. Step 2: Convert to fraction form
    514,086.58/709,390.20 = 284,635.46/x
  3. Step 3: Cross multiply
    514,086.58x = 709,390.20 × 284,635.46
  4. Step 4: Simplify right side
    514,086.58x = 201,917,605,896.49
  5. Step 5: Solve for x
    x = 201,917,605,896.49/514,086.58
  6. Step 6: Final answer
    x = 392,769.65

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Why These Related Problems?

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