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Finding the Fourth Proportional to 465,598.24, 642,507.96 and 261,657.88

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Solution

The fourth proportional to 465,598.24, 642,507.96 and 261,657.88 is: 361,077.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,598.24 : 642,507.96 = 261,657.88 : x
  2. Step 2: Convert to fraction form
    465,598.24/642,507.96 = 261,657.88/x
  3. Step 3: Cross multiply
    465,598.24x = 642,507.96 × 261,657.88
  4. Step 4: Simplify right side
    465,598.24x = 168,117,270,696.73
  5. Step 5: Solve for x
    x = 168,117,270,696.73/465,598.24
  6. Step 6: Final answer
    x = 361,077.98

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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.