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Finding the Fourth Proportional to 514,959, 710,685.27 and 285,539.10

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Solution

The fourth proportional to 514,959, 710,685.27 and 285,539.10 is: 394,067.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,959 : 710,685.27 = 285,539.10 : x
  2. Step 2: Convert to fraction form
    514,959/710,685.27 = 285,539.10/x
  3. Step 3: Cross multiply
    514,959x = 710,685.27 × 285,539.10
  4. Step 4: Simplify right side
    514,959x = 202,928,432,379.06
  5. Step 5: Solve for x
    x = 202,928,432,379.06/514,959
  6. Step 6: Final answer
    x = 394,067.16

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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.