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Finding the Fourth Proportional to 312,756.97, 431,599.92 and 176,786.14

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Solution

The fourth proportional to 312,756.97, 431,599.92 and 176,786.14 is: 243,962.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,756.97 : 431,599.92 = 176,786.14 : x
  2. Step 2: Convert to fraction form
    312,756.97/431,599.92 = 176,786.14/x
  3. Step 3: Cross multiply
    312,756.97x = 431,599.92 × 176,786.14
  4. Step 4: Simplify right side
    312,756.97x = 76,300,883,881.11
  5. Step 5: Solve for x
    x = 76,300,883,881.11/312,756.97
  6. Step 6: Final answer
    x = 243,962.22

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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.