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Finding the Fourth Proportional to 400,624.80, 600,062.40 and 242,577.60

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Solution

The fourth proportional to 400,624.80, 600,062.40 and 242,577.60 is: 363,336.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,624.80 : 600,062.40 = 242,577.60 : x
  2. Step 2: Convert to fraction form
    400,624.80/600,062.40 = 242,577.60/x
  3. Step 3: Cross multiply
    400,624.80x = 600,062.40 × 242,577.60
  4. Step 4: Simplify right side
    400,624.80x = 145,561,696,842.24
  5. Step 5: Solve for x
    x = 145,561,696,842.24/400,624.80
  6. Step 6: Final answer
    x = 363,336.71

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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.