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Finding the Fourth Proportional to 415,820.88, 573,832.89 and 224,834.22

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Solution

The fourth proportional to 415,820.88, 573,832.89 and 224,834.22 is: 310,271.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,820.88 : 573,832.89 = 224,834.22 : x
  2. Step 2: Convert to fraction form
    415,820.88/573,832.89 = 224,834.22/x
  3. Step 3: Cross multiply
    415,820.88x = 573,832.89 × 224,834.22
  4. Step 4: Simplify right side
    415,820.88x = 129,017,270,233.50
  5. Step 5: Solve for x
    x = 129,017,270,233.50/415,820.88
  6. Step 6: Final answer
    x = 310,271.26

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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.