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Finding the Fourth Proportional to 415,324.77, 573,148.41 and 224,338.15

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Solution

The fourth proportional to 415,324.77, 573,148.41 and 224,338.15 is: 309,586.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,324.77 : 573,148.41 = 224,338.15 : x
  2. Step 2: Convert to fraction form
    415,324.77/573,148.41 = 224,338.15/x
  3. Step 3: Cross multiply
    415,324.77x = 573,148.41 × 224,338.15
  4. Step 4: Simplify right side
    415,324.77x = 128,579,053,974.84
  5. Step 5: Solve for x
    x = 128,579,053,974.84/415,324.77
  6. Step 6: Final answer
    x = 309,586.77

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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.