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Finding the Fourth Proportional to 687,116.76, 948,231 and 514,729.32

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Solution

The fourth proportional to 687,116.76, 948,231 and 514,729.32 is: 710,333.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,116.76 : 948,231 = 514,729.32 : x
  2. Step 2: Convert to fraction form
    687,116.76/948,231 = 514,729.32/x
  3. Step 3: Cross multiply
    687,116.76x = 948,231 × 514,729.32
  4. Step 4: Simplify right side
    687,116.76x = 488,082,297,832.92
  5. Step 5: Solve for x
    x = 488,082,297,832.92/687,116.76
  6. Step 6: Final answer
    x = 710,333.86

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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.