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Finding the Fourth Proportional to 647,540.10, 971,310.15 and 498,068.10

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Solution

The fourth proportional to 647,540.10, 971,310.15 and 498,068.10 is: 747,102.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,540.10 : 971,310.15 = 498,068.10 : x
  2. Step 2: Convert to fraction form
    647,540.10/971,310.15 = 498,068.10/x
  3. Step 3: Cross multiply
    647,540.10x = 971,310.15 × 498,068.10
  4. Step 4: Simplify right side
    647,540.10x = 483,778,600,921.22
  5. Step 5: Solve for x
    x = 483,778,600,921.22/647,540.10
  6. Step 6: Final answer
    x = 747,102.15

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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.