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Finding the Fourth Proportional to 415,334.66, 573,162.06 and 224,348.05

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Solution

The fourth proportional to 415,334.66, 573,162.06 and 224,348.05 is: 309,600.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,334.66 : 573,162.06 = 224,348.05 : x
  2. Step 2: Convert to fraction form
    415,334.66/573,162.06 = 224,348.05/x
  3. Step 3: Cross multiply
    415,334.66x = 573,162.06 × 224,348.05
  4. Step 4: Simplify right side
    415,334.66x = 128,587,789,373.24
  5. Step 5: Solve for x
    x = 128,587,789,373.24/415,334.66
  6. Step 6: Final answer
    x = 309,600.43

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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.