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Finding the Fourth Proportional to 400,029.60, 600,433.20 and 242,565.60

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Solution

The fourth proportional to 400,029.60, 600,433.20 and 242,565.60 is: 364,084.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,029.60 : 600,433.20 = 242,565.60 : x
  2. Step 2: Convert to fraction form
    400,029.60/600,433.20 = 242,565.60/x
  3. Step 3: Cross multiply
    400,029.60x = 600,433.20 × 242,565.60
  4. Step 4: Simplify right side
    400,029.60x = 145,644,439,417.92
  5. Step 5: Solve for x
    x = 145,644,439,417.92/400,029.60
  6. Step 6: Final answer
    x = 364,084.16

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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.