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Finding the Fourth Proportional to 415,870.48, 573,901.28 and 224,883.88

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Solution

The fourth proportional to 415,870.48, 573,901.28 and 224,883.88 is: 310,339.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,870.48 : 573,901.28 = 224,883.88 : x
  2. Step 2: Convert to fraction form
    415,870.48/573,901.28 = 224,883.88/x
  3. Step 3: Cross multiply
    415,870.48x = 573,901.28 × 224,883.88
  4. Step 4: Simplify right side
    415,870.48x = 129,061,146,583.37
  5. Step 5: Solve for x
    x = 129,061,146,583.37/415,870.48
  6. Step 6: Final answer
    x = 310,339.76

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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.