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Finding the Fourth Proportional to 614,224.57, 847,630.71 and 342,286.49

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Solution

The fourth proportional to 614,224.57, 847,630.71 and 342,286.49 is: 472,355.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,224.57 : 847,630.71 = 342,286.49 : x
  2. Step 2: Convert to fraction form
    614,224.57/847,630.71 = 342,286.49/x
  3. Step 3: Cross multiply
    614,224.57x = 847,630.71 × 342,286.49
  4. Step 4: Simplify right side
    614,224.57x = 290,132,542,661.19
  5. Step 5: Solve for x
    x = 290,132,542,661.19/614,224.57
  6. Step 6: Final answer
    x = 472,355.81

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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.