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Finding the Fourth Proportional to 415,940.96, 573,998.52 and 224,954.35

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Solution

The fourth proportional to 415,940.96, 573,998.52 and 224,954.35 is: 310,437.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,940.96 : 573,998.52 = 224,954.35 : x
  2. Step 2: Convert to fraction form
    415,940.96/573,998.52 = 224,954.35/x
  3. Step 3: Cross multiply
    415,940.96x = 573,998.52 × 224,954.35
  4. Step 4: Simplify right side
    415,940.96x = 129,123,462,110.78
  5. Step 5: Solve for x
    x = 129,123,462,110.78/415,940.96
  6. Step 6: Final answer
    x = 310,437.00

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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.