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Finding the Fourth Proportional to 392,259.96, 588,705.22 and 202,776.08

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Solution

The fourth proportional to 392,259.96, 588,705.22 and 202,776.08 is: 304,327.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,259.96 : 588,705.22 = 202,776.08 : x
  2. Step 2: Convert to fraction form
    392,259.96/588,705.22 = 202,776.08/x
  3. Step 3: Cross multiply
    392,259.96x = 588,705.22 × 202,776.08
  4. Step 4: Simplify right side
    392,259.96x = 119,375,336,787.14
  5. Step 5: Solve for x
    x = 119,375,336,787.14/392,259.96
  6. Step 6: Final answer
    x = 304,327.10

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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.