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Finding the Fourth Proportional to 408,056.10, 612,084.15 and 171,665.70

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Solution

The fourth proportional to 408,056.10, 612,084.15 and 171,665.70 is: 257,498.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,056.10 : 612,084.15 = 171,665.70 : x
  2. Step 2: Convert to fraction form
    408,056.10/612,084.15 = 171,665.70/x
  3. Step 3: Cross multiply
    408,056.10x = 612,084.15 × 171,665.70
  4. Step 4: Simplify right side
    408,056.10x = 105,073,854,068.66
  5. Step 5: Solve for x
    x = 105,073,854,068.66/408,056.10
  6. Step 6: Final answer
    x = 257,498.55

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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.