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Finding the Fourth Proportional to 314,855.04, 471,874.08 and 127,764.48

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Solution

The fourth proportional to 314,855.04, 471,874.08 and 127,764.48 is: 191,480.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,855.04 : 471,874.08 = 127,764.48 : x
  2. Step 2: Convert to fraction form
    314,855.04/471,874.08 = 127,764.48/x
  3. Step 3: Cross multiply
    314,855.04x = 471,874.08 × 127,764.48
  4. Step 4: Simplify right side
    314,855.04x = 60,288,746,456.68
  5. Step 5: Solve for x
    x = 60,288,746,456.68/314,855.04
  6. Step 6: Final answer
    x = 191,480.96

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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.