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Finding the Fourth Proportional to 309,675.20, 464,512.80 and 247,467.20

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Solution

The fourth proportional to 309,675.20, 464,512.80 and 247,467.20 is: 371,200.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,675.20 : 464,512.80 = 247,467.20 : x
  2. Step 2: Convert to fraction form
    309,675.20/464,512.80 = 247,467.20/x
  3. Step 3: Cross multiply
    309,675.20x = 464,512.80 × 247,467.20
  4. Step 4: Simplify right side
    309,675.20x = 114,951,681,980.16
  5. Step 5: Solve for x
    x = 114,951,681,980.16/309,675.20
  6. Step 6: Final answer
    x = 371,200.80

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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.