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Finding the Fourth Proportional to 415,649.75, 573,599.27 and 224,662.68

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Solution

The fourth proportional to 415,649.75, 573,599.27 and 224,662.68 is: 310,035.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,649.75 : 573,599.27 = 224,662.68 : x
  2. Step 2: Convert to fraction form
    415,649.75/573,599.27 = 224,662.68/x
  3. Step 3: Cross multiply
    415,649.75x = 573,599.27 × 224,662.68
  4. Step 4: Simplify right side
    415,649.75x = 128,866,349,805.90
  5. Step 5: Solve for x
    x = 128,866,349,805.90/415,649.75
  6. Step 6: Final answer
    x = 310,035.92

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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.