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Finding the Fourth Proportional to 491,176.80, 736,765.20 and 432,127.80

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Solution

The fourth proportional to 491,176.80, 736,765.20 and 432,127.80 is: 648,191.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,176.80 : 736,765.20 = 432,127.80 : x
  2. Step 2: Convert to fraction form
    491,176.80/736,765.20 = 432,127.80/x
  3. Step 3: Cross multiply
    491,176.80x = 736,765.20 × 432,127.80
  4. Step 4: Simplify right side
    491,176.80x = 318,376,724,992.56
  5. Step 5: Solve for x
    x = 318,376,724,992.56/491,176.80
  6. Step 6: Final answer
    x = 648,191.70

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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.