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Finding the Fourth Proportional to 491,805.60, 737,708.40 and 462,775.20

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Solution

The fourth proportional to 491,805.60, 737,708.40 and 462,775.20 is: 694,162.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,805.60 : 737,708.40 = 462,775.20 : x
  2. Step 2: Convert to fraction form
    491,805.60/737,708.40 = 462,775.20/x
  3. Step 3: Cross multiply
    491,805.60x = 737,708.40 × 462,775.20
  4. Step 4: Simplify right side
    491,805.60x = 341,393,152,351.68
  5. Step 5: Solve for x
    x = 341,393,152,351.68/491,805.60
  6. Step 6: Final answer
    x = 694,162.80

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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.