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Finding the Fourth Proportional to 331,470.72, 497,136.24 and 106,851.24

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Solution

The fourth proportional to 331,470.72, 497,136.24 and 106,851.24 is: 160,254.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,470.72 : 497,136.24 = 106,851.24 : x
  2. Step 2: Convert to fraction form
    331,470.72/497,136.24 = 106,851.24/x
  3. Step 3: Cross multiply
    331,470.72x = 497,136.24 × 106,851.24
  4. Step 4: Simplify right side
    331,470.72x = 53,119,623,692.94
  5. Step 5: Solve for x
    x = 53,119,623,692.94/331,470.72
  6. Step 6: Final answer
    x = 160,254.35

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1.5x scale

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.