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Finding the Fourth Proportional to 382,471.86, 573,778.74 and 126,322.17

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Solution

The fourth proportional to 382,471.86, 573,778.74 and 126,322.17 is: 189,506.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,471.86 : 573,778.74 = 126,322.17 : x
  2. Step 2: Convert to fraction form
    382,471.86/573,778.74 = 126,322.17/x
  3. Step 3: Cross multiply
    382,471.86x = 573,778.74 × 126,322.17
  4. Step 4: Simplify right side
    382,471.86x = 72,480,975,536.67
  5. Step 5: Solve for x
    x = 72,480,975,536.67/382,471.86
  6. Step 6: Final answer
    x = 189,506.69

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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.