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Finding the Fourth Proportional to 301,222.32, 415,691.64 and 173,909.04

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Solution

The fourth proportional to 301,222.32, 415,691.64 and 173,909.04 is: 239,997.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,222.32 : 415,691.64 = 173,909.04 : x
  2. Step 2: Convert to fraction form
    301,222.32/415,691.64 = 173,909.04/x
  3. Step 3: Cross multiply
    301,222.32x = 415,691.64 × 173,909.04
  4. Step 4: Simplify right side
    301,222.32x = 72,292,534,048.43
  5. Step 5: Solve for x
    x = 72,292,534,048.43/301,222.32
  6. Step 6: Final answer
    x = 239,997.27

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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.