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Finding the Fourth Proportional to 465,597.24, 642,506.58 and 261,656.88

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Solution

The fourth proportional to 465,597.24, 642,506.58 and 261,656.88 is: 361,076.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,597.24 : 642,506.58 = 261,656.88 : x
  2. Step 2: Convert to fraction form
    465,597.24/642,506.58 = 261,656.88/x
  3. Step 3: Cross multiply
    465,597.24x = 642,506.58 × 261,656.88
  4. Step 4: Simplify right side
    465,597.24x = 168,116,267,102.27
  5. Step 5: Solve for x
    x = 168,116,267,102.27/465,597.24
  6. Step 6: Final answer
    x = 361,076.60

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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.