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Finding the Fourth Proportional to 415,752.66, 573,738.52 and 224,766

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Solution

The fourth proportional to 415,752.66, 573,738.52 and 224,766 is: 310,177.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,752.66 : 573,738.52 = 224,766 : x
  2. Step 2: Convert to fraction form
    415,752.66/573,738.52 = 224,766/x
  3. Step 3: Cross multiply
    415,752.66x = 573,738.52 × 224,766
  4. Step 4: Simplify right side
    415,752.66x = 128,956,912,186.32
  5. Step 5: Solve for x
    x = 128,956,912,186.32/415,752.66
  6. Step 6: Final answer
    x = 310,177.00

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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.