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Finding the Fourth Proportional to 477,175.27, 715,744.20 and 161,632.16

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Solution

The fourth proportional to 477,175.27, 715,744.20 and 161,632.16 is: 242,441.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,175.27 : 715,744.20 = 161,632.16 : x
  2. Step 2: Convert to fraction form
    477,175.27/715,744.20 = 161,632.16/x
  3. Step 3: Cross multiply
    477,175.27x = 715,744.20 × 161,632.16
  4. Step 4: Simplify right side
    477,175.27x = 115,687,281,053.47
  5. Step 5: Solve for x
    x = 115,687,281,053.47/477,175.27
  6. Step 6: Final answer
    x = 242,441.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.