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Finding the Fourth Proportional to 654,992.68, 982,488.96 and 181,678.06

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Solution

The fourth proportional to 654,992.68, 982,488.96 and 181,678.06 is: 272,517.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,992.68 : 982,488.96 = 181,678.06 : x
  2. Step 2: Convert to fraction form
    654,992.68/982,488.96 = 181,678.06/x
  3. Step 3: Cross multiply
    654,992.68x = 982,488.96 × 181,678.06
  4. Step 4: Simplify right side
    654,992.68x = 178,496,688,224.22
  5. Step 5: Solve for x
    x = 178,496,688,224.22/654,992.68
  6. Step 6: Final answer
    x = 272,517.07

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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.