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Finding the Fourth Proportional to 465,468.50, 642,307.08 and 261,503.42

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Solution

The fourth proportional to 465,468.50, 642,307.08 and 261,503.42 is: 360,852.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,468.50 : 642,307.08 = 261,503.42 : x
  2. Step 2: Convert to fraction form
    465,468.50/642,307.08 = 261,503.42/x
  3. Step 3: Cross multiply
    465,468.50x = 642,307.08 × 261,503.42
  4. Step 4: Simplify right side
    465,468.50x = 167,965,498,110.21
  5. Step 5: Solve for x
    x = 167,965,498,110.21/465,468.50
  6. Step 6: Final answer
    x = 360,852.56

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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.