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Finding the Fourth Proportional to 498,276.10, 747,414.15 and 470,719.90

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Solution

The fourth proportional to 498,276.10, 747,414.15 and 470,719.90 is: 706,079.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,276.10 : 747,414.15 = 470,719.90 : x
  2. Step 2: Convert to fraction form
    498,276.10/747,414.15 = 470,719.90/x
  3. Step 3: Cross multiply
    498,276.10x = 747,414.15 × 470,719.90
  4. Step 4: Simplify right side
    498,276.10x = 351,822,713,946.59
  5. Step 5: Solve for x
    x = 351,822,713,946.59/498,276.10
  6. Step 6: Final answer
    x = 706,079.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.