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Finding the Fourth Proportional to 532,750.24, 735,217.76 and 306,396

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Solution

The fourth proportional to 532,750.24, 735,217.76 and 306,396 is: 422,839.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,750.24 : 735,217.76 = 306,396 : x
  2. Step 2: Convert to fraction form
    532,750.24/735,217.76 = 306,396/x
  3. Step 3: Cross multiply
    532,750.24x = 735,217.76 × 306,396
  4. Step 4: Simplify right side
    532,750.24x = 225,267,780,792.96
  5. Step 5: Solve for x
    x = 225,267,780,792.96/532,750.24
  6. Step 6: Final answer
    x = 422,839.38

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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.