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Finding the Fourth Proportional to 418,342.56, 627,771.42 and 165,580.04

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Solution

The fourth proportional to 418,342.56, 627,771.42 and 165,580.04 is: 248,472.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,342.56 : 627,771.42 = 165,580.04 : x
  2. Step 2: Convert to fraction form
    418,342.56/627,771.42 = 165,580.04/x
  3. Step 3: Cross multiply
    418,342.56x = 627,771.42 × 165,580.04
  4. Step 4: Simplify right side
    418,342.56x = 103,946,413,695.60
  5. Step 5: Solve for x
    x = 103,946,413,695.60/418,342.56
  6. Step 6: Final answer
    x = 248,472.00

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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.