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Finding the Fourth Proportional to 514,458.68, 709,957.92 and 285,020.84

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Solution

The fourth proportional to 514,458.68, 709,957.92 and 285,020.84 is: 393,331.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,458.68 : 709,957.92 = 285,020.84 : x
  2. Step 2: Convert to fraction form
    514,458.68/709,957.92 = 285,020.84/x
  3. Step 3: Cross multiply
    514,458.68x = 709,957.92 × 285,020.84
  4. Step 4: Simplify right side
    514,458.68x = 202,352,802,723.05
  5. Step 5: Solve for x
    x = 202,352,802,723.05/514,458.68
  6. Step 6: Final answer
    x = 393,331.50

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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.