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Finding the Fourth Proportional to 409,910.80, 614,574.60 and 157,093.60

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Solution

The fourth proportional to 409,910.80, 614,574.60 and 157,093.60 is: 235,528.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,910.80 : 614,574.60 = 157,093.60 : x
  2. Step 2: Convert to fraction form
    409,910.80/614,574.60 = 157,093.60/x
  3. Step 3: Cross multiply
    409,910.80x = 614,574.60 × 157,093.60
  4. Step 4: Simplify right side
    409,910.80x = 96,545,736,382.56
  5. Step 5: Solve for x
    x = 96,545,736,382.56/409,910.80
  6. Step 6: Final answer
    x = 235,528.65

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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.