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Finding the Fourth Proportional to 314,589.68, 471,954.60 and 114,909.76

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Solution

The fourth proportional to 314,589.68, 471,954.60 and 114,909.76 is: 172,390.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,589.68 : 471,954.60 = 114,909.76 : x
  2. Step 2: Convert to fraction form
    314,589.68/471,954.60 = 114,909.76/x
  3. Step 3: Cross multiply
    314,589.68x = 471,954.60 × 114,909.76
  4. Step 4: Simplify right side
    314,589.68x = 54,232,189,816.90
  5. Step 5: Solve for x
    x = 54,232,189,816.90/314,589.68
  6. Step 6: Final answer
    x = 172,390.24

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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.