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Finding the Fourth Proportional to 542,541.24, 748,862.82 and 327,645

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Solution

The fourth proportional to 542,541.24, 748,862.82 and 327,645 is: 452,244.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,541.24 : 748,862.82 = 327,645 : x
  2. Step 2: Convert to fraction form
    542,541.24/748,862.82 = 327,645/x
  3. Step 3: Cross multiply
    542,541.24x = 748,862.82 × 327,645
  4. Step 4: Simplify right side
    542,541.24x = 245,361,158,658.90
  5. Step 5: Solve for x
    x = 245,361,158,658.90/542,541.24
  6. Step 6: Final answer
    x = 452,244.25

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1.5x scale

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.