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Finding the Fourth Proportional to 415,838.00, 573,856.04 and 224,850.94

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Solution

The fourth proportional to 415,838.00, 573,856.04 and 224,850.94 is: 310,294.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,838.00 : 573,856.04 = 224,850.94 : x
  2. Step 2: Convert to fraction form
    415,838.00/573,856.04 = 224,850.94/x
  3. Step 3: Cross multiply
    415,838.00x = 573,856.04 × 224,850.94
  4. Step 4: Simplify right side
    415,838.00x = 129,032,069,146.17
  5. Step 5: Solve for x
    x = 129,032,069,146.17/415,838.00
  6. Step 6: Final answer
    x = 310,294.08

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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.