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Finding the Fourth Proportional to 415,849.10, 573,871.34 and 224,862.04

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Solution

The fourth proportional to 415,849.10, 573,871.34 and 224,862.04 is: 310,309.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,849.10 : 573,871.34 = 224,862.04 : x
  2. Step 2: Convert to fraction form
    415,849.10/573,871.34 = 224,862.04/x
  3. Step 3: Cross multiply
    415,849.10x = 573,871.34 × 224,862.04
  4. Step 4: Simplify right side
    415,849.10x = 129,041,880,209.93
  5. Step 5: Solve for x
    x = 129,041,880,209.93/415,849.10
  6. Step 6: Final answer
    x = 310,309.39

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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.