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Finding the Fourth Proportional to 313,221.38, 432,245.80 and 169,981.46

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Solution

The fourth proportional to 313,221.38, 432,245.80 and 169,981.46 is: 234,574.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,221.38 : 432,245.80 = 169,981.46 : x
  2. Step 2: Convert to fraction form
    313,221.38/432,245.80 = 169,981.46/x
  3. Step 3: Cross multiply
    313,221.38x = 432,245.80 × 169,981.46
  4. Step 4: Simplify right side
    313,221.38x = 73,473,772,162.87
  5. Step 5: Solve for x
    x = 73,473,772,162.87/313,221.38
  6. Step 6: Final answer
    x = 234,574.58

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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.