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Finding the Fourth Proportional to 257,424.30, 386,136.45 and 195,216.30

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Solution

The fourth proportional to 257,424.30, 386,136.45 and 195,216.30 is: 292,824.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,424.30 : 386,136.45 = 195,216.30 : x
  2. Step 2: Convert to fraction form
    257,424.30/386,136.45 = 195,216.30/x
  3. Step 3: Cross multiply
    257,424.30x = 386,136.45 × 195,216.30
  4. Step 4: Simplify right side
    257,424.30x = 75,380,129,064.14
  5. Step 5: Solve for x
    x = 75,380,129,064.14/257,424.30
  6. Step 6: Final answer
    x = 292,824.45

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Similar ratio
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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.