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Finding the Fourth Proportional to 382,673.80, 574,229.40 and 146,186.20

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Solution

The fourth proportional to 382,673.80, 574,229.40 and 146,186.20 is: 219,362.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,673.80 : 574,229.40 = 146,186.20 : x
  2. Step 2: Convert to fraction form
    382,673.80/574,229.40 = 146,186.20/x
  3. Step 3: Cross multiply
    382,673.80x = 574,229.40 × 146,186.20
  4. Step 4: Simplify right side
    382,673.80x = 83,944,413,914.28
  5. Step 5: Solve for x
    x = 83,944,413,914.28/382,673.80
  6. Step 6: Final answer
    x = 219,362.85

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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.