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Finding the Fourth Proportional to 319,689.81, 441,175.59 and 176,449.86

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Solution

The fourth proportional to 319,689.81, 441,175.59 and 176,449.86 is: 243,502.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,689.81 : 441,175.59 = 176,449.86 : x
  2. Step 2: Convert to fraction form
    319,689.81/441,175.59 = 176,449.86/x
  3. Step 3: Cross multiply
    319,689.81x = 441,175.59 × 176,449.86
  4. Step 4: Simplify right side
    319,689.81x = 77,845,371,090.92
  5. Step 5: Solve for x
    x = 77,845,371,090.92/319,689.81
  6. Step 6: Final answer
    x = 243,502.82

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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.