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Finding the Fourth Proportional to 280,270.20, 386,784.48 and 159,432.78

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Solution

The fourth proportional to 280,270.20, 386,784.48 and 159,432.78 is: 220,023.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,270.20 : 386,784.48 = 159,432.78 : x
  2. Step 2: Convert to fraction form
    280,270.20/386,784.48 = 159,432.78/x
  3. Step 3: Cross multiply
    280,270.20x = 386,784.48 × 159,432.78
  4. Step 4: Simplify right side
    280,270.20x = 61,666,124,907.25
  5. Step 5: Solve for x
    x = 61,666,124,907.25/280,270.20
  6. Step 6: Final answer
    x = 220,023.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.