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Finding the Fourth Proportional to 438,149.40, 656,738.10 and 171,821.40

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Solution

The fourth proportional to 438,149.40, 656,738.10 and 171,821.40 is: 257,541.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,149.40 : 656,738.10 = 171,821.40 : x
  2. Step 2: Convert to fraction form
    438,149.40/656,738.10 = 171,821.40/x
  3. Step 3: Cross multiply
    438,149.40x = 656,738.10 × 171,821.40
  4. Step 4: Simplify right side
    438,149.40x = 112,841,659,775.34
  5. Step 5: Solve for x
    x = 112,841,659,775.34/438,149.40
  6. Step 6: Final answer
    x = 257,541.51

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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.