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Finding the Fourth Proportional to 498,468.60, 746,666.10 and 415,524.60

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Solution

The fourth proportional to 498,468.60, 746,666.10 and 415,524.60 is: 622,422.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,468.60 : 746,666.10 = 415,524.60 : x
  2. Step 2: Convert to fraction form
    498,468.60/746,666.10 = 415,524.60/x
  3. Step 3: Cross multiply
    498,468.60x = 746,666.10 × 415,524.60
  4. Step 4: Simplify right side
    498,468.60x = 310,258,132,536.06
  5. Step 5: Solve for x
    x = 310,258,132,536.06/498,468.60
  6. Step 6: Final answer
    x = 622,422.62

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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.