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Finding the Fourth Proportional to 418,707.94, 627,967.56 and 119,181.88

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Solution

The fourth proportional to 418,707.94, 627,967.56 and 119,181.88 is: 178,745.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,707.94 : 627,967.56 = 119,181.88 : x
  2. Step 2: Convert to fraction form
    418,707.94/627,967.56 = 119,181.88/x
  3. Step 3: Cross multiply
    418,707.94x = 627,967.56 × 119,181.88
  4. Step 4: Simplify right side
    418,707.94x = 74,842,354,379.81
  5. Step 5: Solve for x
    x = 74,842,354,379.81/418,707.94
  6. Step 6: Final answer
    x = 178,745.96

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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.