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Finding the Fourth Proportional to 546,735.70, 820,103.55 and 497,746.90

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Solution

The fourth proportional to 546,735.70, 820,103.55 and 497,746.90 is: 746,620.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,735.70 : 820,103.55 = 497,746.90 : x
  2. Step 2: Convert to fraction form
    546,735.70/820,103.55 = 497,746.90/x
  3. Step 3: Cross multiply
    546,735.70x = 820,103.55 × 497,746.90
  4. Step 4: Simplify right side
    546,735.70x = 408,203,999,691.50
  5. Step 5: Solve for x
    x = 408,203,999,691.50/546,735.70
  6. Step 6: Final answer
    x = 746,620.35

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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.