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Finding the Fourth Proportional to 362,176.40, 543,610.20 and 309,645.20

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Solution

The fourth proportional to 362,176.40, 543,610.20 and 309,645.20 is: 464,763.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,176.40 : 543,610.20 = 309,645.20 : x
  2. Step 2: Convert to fraction form
    362,176.40/543,610.20 = 309,645.20/x
  3. Step 3: Cross multiply
    362,176.40x = 543,610.20 × 309,645.20
  4. Step 4: Simplify right side
    362,176.40x = 168,326,289,101.04
  5. Step 5: Solve for x
    x = 168,326,289,101.04/362,176.40
  6. Step 6: Final answer
    x = 464,763.27

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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.