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Finding the Fourth Proportional to 415,825.28, 573,838.56 and 224,838.56

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Solution

The fourth proportional to 415,825.28, 573,838.56 and 224,838.56 is: 310,277.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,825.28 : 573,838.56 = 224,838.56 : x
  2. Step 2: Convert to fraction form
    415,825.28/573,838.56 = 224,838.56/x
  3. Step 3: Cross multiply
    415,825.28x = 573,838.56 × 224,838.56
  4. Step 4: Simplify right side
    415,825.28x = 129,021,035,502.87
  5. Step 5: Solve for x
    x = 129,021,035,502.87/415,825.28
  6. Step 6: Final answer
    x = 310,277.04

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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.