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Finding the Fourth Proportional to 514,909.89, 710,617.74 and 285,539.12

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Solution

The fourth proportional to 514,909.89, 710,617.74 and 285,539.12 is: 394,067.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,909.89 : 710,617.74 = 285,539.12 : x
  2. Step 2: Convert to fraction form
    514,909.89/710,617.74 = 285,539.12/x
  3. Step 3: Cross multiply
    514,909.89x = 710,617.74 × 285,539.12
  4. Step 4: Simplify right side
    514,909.89x = 202,909,164,318.49
  5. Step 5: Solve for x
    x = 202,909,164,318.49/514,909.89
  6. Step 6: Final answer
    x = 394,067.33

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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.