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Finding the Fourth Proportional to 292,398.30, 403,532.55 and 165,087.90

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Solution

The fourth proportional to 292,398.30, 403,532.55 and 165,087.90 is: 227,834.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,398.30 : 403,532.55 = 165,087.90 : x
  2. Step 2: Convert to fraction form
    292,398.30/403,532.55 = 165,087.90/x
  3. Step 3: Cross multiply
    292,398.30x = 403,532.55 × 165,087.90
  4. Step 4: Simplify right side
    292,398.30x = 66,618,341,261.15
  5. Step 5: Solve for x
    x = 66,618,341,261.15/292,398.30
  6. Step 6: Final answer
    x = 227,834.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.