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Finding the Fourth Proportional to 314,171.40, 471,101.38 and 111,737.16

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Solution

The fourth proportional to 314,171.40, 471,101.38 and 111,737.16 is: 167,550.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,171.40 : 471,101.38 = 111,737.16 : x
  2. Step 2: Convert to fraction form
    314,171.40/471,101.38 = 111,737.16/x
  3. Step 3: Cross multiply
    314,171.40x = 471,101.38 × 111,737.16
  4. Step 4: Simplify right side
    314,171.40x = 52,639,530,273.28
  5. Step 5: Solve for x
    x = 52,639,530,273.28/314,171.40
  6. Step 6: Final answer
    x = 167,550.36

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1.5x scale

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.