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Finding the Fourth Proportional to 491,981.60, 737,972.40 and 447,658.40

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Solution

The fourth proportional to 491,981.60, 737,972.40 and 447,658.40 is: 671,487.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,981.60 : 737,972.40 = 447,658.40 : x
  2. Step 2: Convert to fraction form
    491,981.60/737,972.40 = 447,658.40/x
  3. Step 3: Cross multiply
    491,981.60x = 737,972.40 × 447,658.40
  4. Step 4: Simplify right side
    491,981.60x = 330,359,543,828.16
  5. Step 5: Solve for x
    x = 330,359,543,828.16/491,981.60
  6. Step 6: Final answer
    x = 671,487.60

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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.