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Finding the Fourth Proportional to 415,894.88, 573,932.04 and 224,905.52

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Solution

The fourth proportional to 415,894.88, 573,932.04 and 224,905.52 is: 310,368.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,894.88 : 573,932.04 = 224,905.52 : x
  2. Step 2: Convert to fraction form
    415,894.88/573,932.04 = 224,905.52/x
  3. Step 3: Cross multiply
    415,894.88x = 573,932.04 × 224,905.52
  4. Step 4: Simplify right side
    415,894.88x = 129,080,483,900.86
  5. Step 5: Solve for x
    x = 129,080,483,900.86/415,894.88
  6. Step 6: Final answer
    x = 310,368.05

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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.