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Finding the Fourth Proportional to 469,713.27, 648,202.20 and 254,852.82

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Solution

The fourth proportional to 469,713.27, 648,202.20 and 254,852.82 is: 351,695.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,713.27 : 648,202.20 = 254,852.82 : x
  2. Step 2: Convert to fraction form
    469,713.27/648,202.20 = 254,852.82/x
  3. Step 3: Cross multiply
    469,713.27x = 648,202.20 × 254,852.82
  4. Step 4: Simplify right side
    469,713.27x = 165,196,156,732.98
  5. Step 5: Solve for x
    x = 165,196,156,732.98/469,713.27
  6. Step 6: Final answer
    x = 351,695.74

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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.