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Finding the Fourth Proportional to 362,475.20, 543,056.70 and 309,987.20

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Solution

The fourth proportional to 362,475.20, 543,056.70 and 309,987.20 is: 464,419.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,475.20 : 543,056.70 = 309,987.20 : x
  2. Step 2: Convert to fraction form
    362,475.20/543,056.70 = 309,987.20/x
  3. Step 3: Cross multiply
    362,475.20x = 543,056.70 × 309,987.20
  4. Step 4: Simplify right side
    362,475.20x = 168,340,625,874.24
  5. Step 5: Solve for x
    x = 168,340,625,874.24/362,475.20
  6. Step 6: Final answer
    x = 464,419.71

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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.