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Finding the Fourth Proportional to 962,947, 1,328,850.49 and 533,217.90

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Solution

The fourth proportional to 962,947, 1,328,850.49 and 533,217.90 is: 735,831.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,947 : 1,328,850.49 = 533,217.90 : x
  2. Step 2: Convert to fraction form
    962,947/1,328,850.49 = 533,217.90/x
  3. Step 3: Cross multiply
    962,947x = 1,328,850.49 × 533,217.90
  4. Step 4: Simplify right side
    962,947x = 708,566,867,691.77
  5. Step 5: Solve for x
    x = 708,566,867,691.77/962,947
  6. Step 6: Final answer
    x = 735,831.64

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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.