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Finding the Fourth Proportional to 408,072.30, 612,108.45 and 282,101.10

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Solution

The fourth proportional to 408,072.30, 612,108.45 and 282,101.10 is: 423,151.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,072.30 : 612,108.45 = 282,101.10 : x
  2. Step 2: Convert to fraction form
    408,072.30/612,108.45 = 282,101.10/x
  3. Step 3: Cross multiply
    408,072.30x = 612,108.45 × 282,101.10
  4. Step 4: Simplify right side
    408,072.30x = 172,676,467,064.30
  5. Step 5: Solve for x
    x = 172,676,467,064.30/408,072.30
  6. Step 6: Final answer
    x = 423,151.65

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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.