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Finding the Fourth Proportional to 514,905.84, 710,587.32 and 285,449.44

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Solution

The fourth proportional to 514,905.84, 710,587.32 and 285,449.44 is: 393,929.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,905.84 : 710,587.32 = 285,449.44 : x
  2. Step 2: Convert to fraction form
    514,905.84/710,587.32 = 285,449.44/x
  3. Step 3: Cross multiply
    514,905.84x = 710,587.32 × 285,449.44
  4. Step 4: Simplify right side
    514,905.84x = 202,836,752,565.10
  5. Step 5: Solve for x
    x = 202,836,752,565.10/514,905.84
  6. Step 6: Final answer
    x = 393,929.80

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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.