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Finding the Fourth Proportional to 313,304.74, 432,362.45 and 170,065.81

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Solution

The fourth proportional to 313,304.74, 432,362.45 and 170,065.81 is: 234,691.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,304.74 : 432,362.45 = 170,065.81 : x
  2. Step 2: Convert to fraction form
    313,304.74/432,362.45 = 170,065.81/x
  3. Step 3: Cross multiply
    313,304.74x = 432,362.45 × 170,065.81
  4. Step 4: Simplify right side
    313,304.74x = 73,530,070,272.83
  5. Step 5: Solve for x
    x = 73,530,070,272.83/313,304.74
  6. Step 6: Final answer
    x = 234,691.85

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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.