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Finding the Fourth Proportional to 272,334.80, 408,064.80 and 256,588.40

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Solution

The fourth proportional to 272,334.80, 408,064.80 and 256,588.40 is: 384,470.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,334.80 : 408,064.80 = 256,588.40 : x
  2. Step 2: Convert to fraction form
    272,334.80/408,064.80 = 256,588.40/x
  3. Step 3: Cross multiply
    272,334.80x = 408,064.80 × 256,588.40
  4. Step 4: Simplify right side
    272,334.80x = 104,704,694,128.32
  5. Step 5: Solve for x
    x = 104,704,694,128.32/272,334.80
  6. Step 6: Final answer
    x = 384,470.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.