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Finding the Fourth Proportional to 472,351.97, 708,680.96 and 282,782.69

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Solution

The fourth proportional to 472,351.97, 708,680.96 and 282,782.69 is: 424,265.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,351.97 : 708,680.96 = 282,782.69 : x
  2. Step 2: Convert to fraction form
    472,351.97/708,680.96 = 282,782.69/x
  3. Step 3: Cross multiply
    472,351.97x = 708,680.96 × 282,782.69
  4. Step 4: Simplify right side
    472,351.97x = 200,402,706,806.67
  5. Step 5: Solve for x
    x = 200,402,706,806.67/472,351.97
  6. Step 6: Final answer
    x = 424,265.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.