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Finding the Fourth Proportional to 398,809.20, 598,213.80 and 286,834.80

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Solution

The fourth proportional to 398,809.20, 598,213.80 and 286,834.80 is: 430,252.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,809.20 : 598,213.80 = 286,834.80 : x
  2. Step 2: Convert to fraction form
    398,809.20/598,213.80 = 286,834.80/x
  3. Step 3: Cross multiply
    398,809.20x = 598,213.80 × 286,834.80
  4. Step 4: Simplify right side
    398,809.20x = 171,588,535,680.24
  5. Step 5: Solve for x
    x = 171,588,535,680.24/398,809.20
  6. Step 6: Final answer
    x = 430,252.20

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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.