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Finding the Fourth Proportional to 303,461.20, 455,710.20 and 198,744.40

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Solution

The fourth proportional to 303,461.20, 455,710.20 and 198,744.40 is: 298,456.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,461.20 : 455,710.20 = 198,744.40 : x
  2. Step 2: Convert to fraction form
    303,461.20/455,710.20 = 198,744.40/x
  3. Step 3: Cross multiply
    303,461.20x = 455,710.20 × 198,744.40
  4. Step 4: Simplify right side
    303,461.20x = 90,569,850,272.88
  5. Step 5: Solve for x
    x = 90,569,850,272.88/303,461.20
  6. Step 6: Final answer
    x = 298,456.11

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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.