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Finding the Fourth Proportional to 491,882.60, 737,823.90 and 471,146.60

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Solution

The fourth proportional to 491,882.60, 737,823.90 and 471,146.60 is: 706,719.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,882.60 : 737,823.90 = 471,146.60 : x
  2. Step 2: Convert to fraction form
    491,882.60/737,823.90 = 471,146.60/x
  3. Step 3: Cross multiply
    491,882.60x = 737,823.90 × 471,146.60
  4. Step 4: Simplify right side
    491,882.60x = 347,623,221,883.74
  5. Step 5: Solve for x
    x = 347,623,221,883.74/491,882.60
  6. Step 6: Final answer
    x = 706,719.90

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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.