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Finding the Fourth Proportional to 462,407.40, 693,611.10 and 146,896.20

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Solution

The fourth proportional to 462,407.40, 693,611.10 and 146,896.20 is: 220,344.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,407.40 : 693,611.10 = 146,896.20 : x
  2. Step 2: Convert to fraction form
    462,407.40/693,611.10 = 146,896.20/x
  3. Step 3: Cross multiply
    462,407.40x = 693,611.10 × 146,896.20
  4. Step 4: Simplify right side
    462,407.40x = 101,888,834,867.82
  5. Step 5: Solve for x
    x = 101,888,834,867.82/462,407.40
  6. Step 6: Final answer
    x = 220,344.30

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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.