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Finding the Fourth Proportional to 687,311.85, 948,495.42 and 381,389.43

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Solution

The fourth proportional to 687,311.85, 948,495.42 and 381,389.43 is: 526,320.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,311.85 : 948,495.42 = 381,389.43 : x
  2. Step 2: Convert to fraction form
    687,311.85/948,495.42 = 381,389.43/x
  3. Step 3: Cross multiply
    687,311.85x = 948,495.42 × 381,389.43
  4. Step 4: Simplify right side
    687,311.85x = 361,746,127,591.41
  5. Step 5: Solve for x
    x = 361,746,127,591.41/687,311.85
  6. Step 6: Final answer
    x = 526,320.23

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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.