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Finding the Fourth Proportional to 477,180.07, 715,751.42 and 161,636.97

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Solution

The fourth proportional to 477,180.07, 715,751.42 and 161,636.97 is: 242,449.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,180.07 : 715,751.42 = 161,636.97 : x
  2. Step 2: Convert to fraction form
    477,180.07/715,751.42 = 161,636.97/x
  3. Step 3: Cross multiply
    477,180.07x = 715,751.42 × 161,636.97
  4. Step 4: Simplify right side
    477,180.07x = 115,691,890,802.00
  5. Step 5: Solve for x
    x = 115,691,890,802.00/477,180.07
  6. Step 6: Final answer
    x = 242,449.13

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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.