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Finding the Fourth Proportional to 654,967.83, 982,451.70 and 181,653.20

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Solution

The fourth proportional to 654,967.83, 982,451.70 and 181,653.20 is: 272,479.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,967.83 : 982,451.70 = 181,653.20 : x
  2. Step 2: Convert to fraction form
    654,967.83/982,451.70 = 181,653.20/x
  3. Step 3: Cross multiply
    654,967.83x = 982,451.70 × 181,653.20
  4. Step 4: Simplify right side
    654,967.83x = 178,465,490,238.18
  5. Step 5: Solve for x
    x = 178,465,490,238.18/654,967.83
  6. Step 6: Final answer
    x = 272,479.78

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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.