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Finding the Fourth Proportional to 650,502.86, 975,228.37 and 271,713.76

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Solution

The fourth proportional to 650,502.86, 975,228.37 and 271,713.76 is: 407,350.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,502.86 : 975,228.37 = 271,713.76 : x
  2. Step 2: Convert to fraction form
    650,502.86/975,228.37 = 271,713.76/x
  3. Step 3: Cross multiply
    650,502.86x = 975,228.37 × 271,713.76
  4. Step 4: Simplify right side
    650,502.86x = 264,982,964,154.02
  5. Step 5: Solve for x
    x = 264,982,964,154.02/650,502.86
  6. Step 6: Final answer
    x = 407,350.96

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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.