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Finding the Fourth Proportional to 415,846.28, 573,866.16 and 224,859.62

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Solution

The fourth proportional to 415,846.28, 573,866.16 and 224,859.62 is: 310,305.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,846.28 : 573,866.16 = 224,859.62 : x
  2. Step 2: Convert to fraction form
    415,846.28/573,866.16 = 224,859.62/x
  3. Step 3: Cross multiply
    415,846.28x = 573,866.16 × 224,859.62
  4. Step 4: Simplify right side
    415,846.28x = 129,039,326,668.46
  5. Step 5: Solve for x
    x = 129,039,326,668.46/415,846.28
  6. Step 6: Final answer
    x = 310,305.35

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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.