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Finding the Fourth Proportional to 409,053.80, 613,599.90 and 128,580.20

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Solution

The fourth proportional to 409,053.80, 613,599.90 and 128,580.20 is: 192,876.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,053.80 : 613,599.90 = 128,580.20 : x
  2. Step 2: Convert to fraction form
    409,053.80/613,599.90 = 128,580.20/x
  3. Step 3: Cross multiply
    409,053.80x = 613,599.90 × 128,580.20
  4. Step 4: Simplify right side
    409,053.80x = 78,896,797,861.98
  5. Step 5: Solve for x
    x = 78,896,797,861.98/409,053.80
  6. Step 6: Final answer
    x = 192,876.34

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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.