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Finding the Fourth Proportional to 399,206.40, 598,809.60 and 162,718.80

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Solution

The fourth proportional to 399,206.40, 598,809.60 and 162,718.80 is: 244,078.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,206.40 : 598,809.60 = 162,718.80 : x
  2. Step 2: Convert to fraction form
    399,206.40/598,809.60 = 162,718.80/x
  3. Step 3: Cross multiply
    399,206.40x = 598,809.60 × 162,718.80
  4. Step 4: Simplify right side
    399,206.40x = 97,437,579,540.48
  5. Step 5: Solve for x
    x = 97,437,579,540.48/399,206.40
  6. Step 6: Final answer
    x = 244,078.20

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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.