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Finding the Fourth Proportional to 254,659.70, 382,397.55 and 202,502.90

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Solution

The fourth proportional to 254,659.70, 382,397.55 and 202,502.90 is: 304,078.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,659.70 : 382,397.55 = 202,502.90 : x
  2. Step 2: Convert to fraction form
    254,659.70/382,397.55 = 202,502.90/x
  3. Step 3: Cross multiply
    254,659.70x = 382,397.55 × 202,502.90
  4. Step 4: Simplify right side
    254,659.70x = 77,436,612,827.90
  5. Step 5: Solve for x
    x = 77,436,612,827.90/254,659.70
  6. Step 6: Final answer
    x = 304,078.79

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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.