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Finding the Fourth Proportional to 319,649.66, 441,103.64 and 176,407.86

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Solution

The fourth proportional to 319,649.66, 441,103.64 and 176,407.86 is: 243,435.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,649.66 : 441,103.64 = 176,407.86 : x
  2. Step 2: Convert to fraction form
    319,649.66/441,103.64 = 176,407.86/x
  3. Step 3: Cross multiply
    319,649.66x = 441,103.64 × 176,407.86
  4. Step 4: Simplify right side
    319,649.66x = 77,814,149,170.61
  5. Step 5: Solve for x
    x = 77,814,149,170.61/319,649.66
  6. Step 6: Final answer
    x = 243,435.73

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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.