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Finding the Fourth Proportional to 382,314.99, 573,589.13 and 195,457.71

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Solution

The fourth proportional to 382,314.99, 573,589.13 and 195,457.71 is: 293,246.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,314.99 : 573,589.13 = 195,457.71 : x
  2. Step 2: Convert to fraction form
    382,314.99/573,589.13 = 195,457.71/x
  3. Step 3: Cross multiply
    382,314.99x = 573,589.13 × 195,457.71
  4. Step 4: Simplify right side
    382,314.99x = 112,112,416,853.40
  5. Step 5: Solve for x
    x = 112,112,416,853.40/382,314.99
  6. Step 6: Final answer
    x = 293,246.20

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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.