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Finding the Fourth Proportional to 465,466.50, 642,304.32 and 261,501.42

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Solution

The fourth proportional to 465,466.50, 642,304.32 and 261,501.42 is: 360,849.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,466.50 : 642,304.32 = 261,501.42 : x
  2. Step 2: Convert to fraction form
    465,466.50/642,304.32 = 261,501.42/x
  3. Step 3: Cross multiply
    465,466.50x = 642,304.32 × 261,501.42
  4. Step 4: Simplify right side
    465,466.50x = 167,963,491,752.13
  5. Step 5: Solve for x
    x = 167,963,491,752.13/465,466.50
  6. Step 6: Final answer
    x = 360,849.80

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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.