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Finding the Fourth Proportional to 418,932.58, 628,497.29 and 119,417.47

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Solution

The fourth proportional to 418,932.58, 628,497.29 and 119,417.47 is: 179,154.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,932.58 : 628,497.29 = 119,417.47 : x
  2. Step 2: Convert to fraction form
    418,932.58/628,497.29 = 119,417.47/x
  3. Step 3: Cross multiply
    418,932.58x = 628,497.29 × 119,417.47
  4. Step 4: Simplify right side
    418,932.58x = 75,053,556,273.66
  5. Step 5: Solve for x
    x = 75,053,556,273.66/418,932.58
  6. Step 6: Final answer
    x = 179,154.26

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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.