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Finding the Fourth Proportional to 465,512.48, 642,401.40 and 264,295.52

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Solution

The fourth proportional to 465,512.48, 642,401.40 and 264,295.52 is: 364,724.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,512.48 : 642,401.40 = 264,295.52 : x
  2. Step 2: Convert to fraction form
    465,512.48/642,401.40 = 264,295.52/x
  3. Step 3: Cross multiply
    465,512.48x = 642,401.40 × 264,295.52
  4. Step 4: Simplify right side
    465,512.48x = 169,783,812,061.73
  5. Step 5: Solve for x
    x = 169,783,812,061.73/465,512.48
  6. Step 6: Final answer
    x = 364,724.51

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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.