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Finding the Fourth Proportional to 415,849.54, 573,871.98 and 224,862.48

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Solution

The fourth proportional to 415,849.54, 573,871.98 and 224,862.48 is: 310,310.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,849.54 : 573,871.98 = 224,862.48 : x
  2. Step 2: Convert to fraction form
    415,849.54/573,871.98 = 224,862.48/x
  3. Step 3: Cross multiply
    415,849.54x = 573,871.98 × 224,862.48
  4. Step 4: Simplify right side
    415,849.54x = 129,042,276,625.31
  5. Step 5: Solve for x
    x = 129,042,276,625.31/415,849.54
  6. Step 6: Final answer
    x = 310,310.01

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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.