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Finding the Fourth Proportional to 408,252.60, 612,476.10 and 171,473.40

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Solution

The fourth proportional to 408,252.60, 612,476.10 and 171,473.40 is: 257,250.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,252.60 : 612,476.10 = 171,473.40 : x
  2. Step 2: Convert to fraction form
    408,252.60/612,476.10 = 171,473.40/x
  3. Step 3: Cross multiply
    408,252.60x = 612,476.10 × 171,473.40
  4. Step 4: Simplify right side
    408,252.60x = 105,023,359,285.74
  5. Step 5: Solve for x
    x = 105,023,359,285.74/408,252.60
  6. Step 6: Final answer
    x = 257,250.93

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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.