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Finding the Fourth Proportional to 477,001.68, 715,057.82 and 161,237.76

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Solution

The fourth proportional to 477,001.68, 715,057.82 and 161,237.76 is: 241,706.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,001.68 : 715,057.82 = 161,237.76 : x
  2. Step 2: Convert to fraction form
    477,001.68/715,057.82 = 161,237.76/x
  3. Step 3: Cross multiply
    477,001.68x = 715,057.82 × 161,237.76
  4. Step 4: Simplify right side
    477,001.68x = 115,294,321,167.28
  5. Step 5: Solve for x
    x = 115,294,321,167.28/477,001.68
  6. Step 6: Final answer
    x = 241,706.32

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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.