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Finding the Fourth Proportional to 415,893.28, 573,934.04 and 224,908

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Solution

The fourth proportional to 415,893.28, 573,934.04 and 224,908 is: 310,373.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,893.28 : 573,934.04 = 224,908 : x
  2. Step 2: Convert to fraction form
    415,893.28/573,934.04 = 224,908/x
  3. Step 3: Cross multiply
    415,893.28x = 573,934.04 × 224,908
  4. Step 4: Simplify right side
    415,893.28x = 129,082,357,068.32
  5. Step 5: Solve for x
    x = 129,082,357,068.32/415,893.28
  6. Step 6: Final answer
    x = 310,373.75

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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.