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Finding the Fourth Proportional to 418,706.19, 627,964.94 and 119,180.13

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Solution

The fourth proportional to 418,706.19, 627,964.94 and 119,180.13 is: 178,743.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,706.19 : 627,964.94 = 119,180.13 : x
  2. Step 2: Convert to fraction form
    418,706.19/627,964.94 = 119,180.13/x
  3. Step 3: Cross multiply
    418,706.19x = 627,964.94 × 119,180.13
  4. Step 4: Simplify right side
    418,706.19x = 74,840,943,184.64
  5. Step 5: Solve for x
    x = 74,840,943,184.64/418,706.19
  6. Step 6: Final answer
    x = 178,743.34

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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.