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Finding the Fourth Proportional to 475,471.96, 713,207.94 and 195,121.24

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Solution

The fourth proportional to 475,471.96, 713,207.94 and 195,121.24 is: 292,681.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,471.96 : 713,207.94 = 195,121.24 : x
  2. Step 2: Convert to fraction form
    475,471.96/713,207.94 = 195,121.24/x
  3. Step 3: Cross multiply
    475,471.96x = 713,207.94 × 195,121.24
  4. Step 4: Simplify right side
    475,471.96x = 139,162,017,630.65
  5. Step 5: Solve for x
    x = 139,162,017,630.65/475,471.96
  6. Step 6: Final answer
    x = 292,681.86

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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.