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Finding the Fourth Proportional to 418,674.78, 628,095.21 and 119,167.14

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Solution

The fourth proportional to 418,674.78, 628,095.21 and 119,167.14 is: 178,774.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,674.78 : 628,095.21 = 119,167.14 : x
  2. Step 2: Convert to fraction form
    418,674.78/628,095.21 = 119,167.14/x
  3. Step 3: Cross multiply
    418,674.78x = 628,095.21 × 119,167.14
  4. Step 4: Simplify right side
    418,674.78x = 74,848,309,823.40
  5. Step 5: Solve for x
    x = 74,848,309,823.40/418,674.78
  6. Step 6: Final answer
    x = 178,774.35

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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.