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Finding the Fourth Proportional to 471,314.17, 650,314.33 and 308,209.76

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Solution

The fourth proportional to 471,314.17, 650,314.33 and 308,209.76 is: 425,264.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,314.17 : 650,314.33 = 308,209.76 : x
  2. Step 2: Convert to fraction form
    471,314.17/650,314.33 = 308,209.76/x
  3. Step 3: Cross multiply
    471,314.17x = 650,314.33 × 308,209.76
  4. Step 4: Simplify right side
    471,314.17x = 200,433,218,781.24
  5. Step 5: Solve for x
    x = 200,433,218,781.24/471,314.17
  6. Step 6: Final answer
    x = 425,264.58

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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.