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Finding the Fourth Proportional to 471,156.96, 650,184.96 and 269,940

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Solution

The fourth proportional to 471,156.96, 650,184.96 and 269,940 is: 372,510.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,156.96 : 650,184.96 = 269,940 : x
  2. Step 2: Convert to fraction form
    471,156.96/650,184.96 = 269,940/x
  3. Step 3: Cross multiply
    471,156.96x = 650,184.96 × 269,940
  4. Step 4: Simplify right side
    471,156.96x = 175,510,928,102.40
  5. Step 5: Solve for x
    x = 175,510,928,102.40/471,156.96
  6. Step 6: Final answer
    x = 372,510.53

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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.