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Finding the Fourth Proportional to 650,473.92, 975,492 and 218,103.84

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Solution

The fourth proportional to 650,473.92, 975,492 and 218,103.84 is: 327,082.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,473.92 : 975,492 = 218,103.84 : x
  2. Step 2: Convert to fraction form
    650,473.92/975,492 = 218,103.84/x
  3. Step 3: Cross multiply
    650,473.92x = 975,492 × 218,103.84
  4. Step 4: Simplify right side
    650,473.92x = 212,758,551,089.28
  5. Step 5: Solve for x
    x = 212,758,551,089.28/650,473.92
  6. Step 6: Final answer
    x = 327,082.37

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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.