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Finding the Fourth Proportional to 453,760.40, 680,737.56 and 138,242.48

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Solution

The fourth proportional to 453,760.40, 680,737.56 and 138,242.48 is: 207,393.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,760.40 : 680,737.56 = 138,242.48 : x
  2. Step 2: Convert to fraction form
    453,760.40/680,737.56 = 138,242.48/x
  3. Step 3: Cross multiply
    453,760.40x = 680,737.56 × 138,242.48
  4. Step 4: Simplify right side
    453,760.40x = 94,106,848,523.55
  5. Step 5: Solve for x
    x = 94,106,848,523.55/453,760.40
  6. Step 6: Final answer
    x = 207,393.26

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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.