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Finding the Fourth Proportional to 649,211.40, 973,817.10 and 491,747.40

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Solution

The fourth proportional to 649,211.40, 973,817.10 and 491,747.40 is: 737,621.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,211.40 : 973,817.10 = 491,747.40 : x
  2. Step 2: Convert to fraction form
    649,211.40/973,817.10 = 491,747.40/x
  3. Step 3: Cross multiply
    649,211.40x = 973,817.10 × 491,747.40
  4. Step 4: Simplify right side
    649,211.40x = 478,872,027,000.54
  5. Step 5: Solve for x
    x = 478,872,027,000.54/649,211.40
  6. Step 6: Final answer
    x = 737,621.10

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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.