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Finding the Fourth Proportional to 418,488.84, 627,814.07 and 178,599.24

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Solution

The fourth proportional to 418,488.84, 627,814.07 and 178,599.24 is: 267,933.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,488.84 : 627,814.07 = 178,599.24 : x
  2. Step 2: Convert to fraction form
    418,488.84/627,814.07 = 178,599.24/x
  3. Step 3: Cross multiply
    418,488.84x = 627,814.07 × 178,599.24
  4. Step 4: Simplify right side
    418,488.84x = 112,127,115,763.31
  5. Step 5: Solve for x
    x = 112,127,115,763.31/418,488.84
  6. Step 6: Final answer
    x = 267,933.35

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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.