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Finding the Fourth Proportional to 438,177.84, 657,259.89 and 224,822.63

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Solution

The fourth proportional to 438,177.84, 657,259.89 and 224,822.63 is: 337,230.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,177.84 : 657,259.89 = 224,822.63 : x
  2. Step 2: Convert to fraction form
    438,177.84/657,259.89 = 224,822.63/x
  3. Step 3: Cross multiply
    438,177.84x = 657,259.89 × 224,822.63
  4. Step 4: Simplify right side
    438,177.84x = 147,766,893,777.01
  5. Step 5: Solve for x
    x = 147,766,893,777.01/438,177.84
  6. Step 6: Final answer
    x = 337,230.41

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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.