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Finding the Fourth Proportional to 647,194.13, 970,931.31 and 247,834.92

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Solution

The fourth proportional to 647,194.13, 970,931.31 and 247,834.92 is: 371,806.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,194.13 : 970,931.31 = 247,834.92 : x
  2. Step 2: Convert to fraction form
    647,194.13/970,931.31 = 247,834.92/x
  3. Step 3: Cross multiply
    647,194.13x = 970,931.31 × 247,834.92
  4. Step 4: Simplify right side
    647,194.13x = 240,630,678,058.72
  5. Step 5: Solve for x
    x = 240,630,678,058.72/647,194.13
  6. Step 6: Final answer
    x = 371,806.03

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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.