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Finding the Fourth Proportional to 654,711.36, 982,068.34 and 181,398

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Solution

The fourth proportional to 654,711.36, 982,068.34 and 181,398 is: 272,097.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,711.36 : 982,068.34 = 181,398 : x
  2. Step 2: Convert to fraction form
    654,711.36/982,068.34 = 181,398/x
  3. Step 3: Cross multiply
    654,711.36x = 982,068.34 × 181,398
  4. Step 4: Simplify right side
    654,711.36x = 178,145,232,739.32
  5. Step 5: Solve for x
    x = 178,145,232,739.32/654,711.36
  6. Step 6: Final answer
    x = 272,097.36

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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.