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Finding the Fourth Proportional to 471,713.13, 650,890.85 and 270,470.25

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Solution

The fourth proportional to 471,713.13, 650,890.85 and 270,470.25 is: 373,206.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,713.13 : 650,890.85 = 270,470.25 : x
  2. Step 2: Convert to fraction form
    471,713.13/650,890.85 = 270,470.25/x
  3. Step 3: Cross multiply
    471,713.13x = 650,890.85 × 270,470.25
  4. Step 4: Simplify right side
    471,713.13x = 176,046,609,569.86
  5. Step 5: Solve for x
    x = 176,046,609,569.86/471,713.13
  6. Step 6: Final answer
    x = 373,206.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.