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Finding the Fourth Proportional to 415,969.88, 574,038.63 and 224,983.22

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Solution

The fourth proportional to 415,969.88, 574,038.63 and 224,983.22 is: 310,476.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,969.88 : 574,038.63 = 224,983.22 : x
  2. Step 2: Convert to fraction form
    415,969.88/574,038.63 = 224,983.22/x
  3. Step 3: Cross multiply
    415,969.88x = 574,038.63 × 224,983.22
  4. Step 4: Simplify right side
    415,969.88x = 129,149,056,511.60
  5. Step 5: Solve for x
    x = 129,149,056,511.60/415,969.88
  6. Step 6: Final answer
    x = 310,476.95

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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.