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Finding the Fourth Proportional to 280,563.85, 387,178.11 and 153,239.75

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Solution

The fourth proportional to 280,563.85, 387,178.11 and 153,239.75 is: 211,470.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,563.85 : 387,178.11 = 153,239.75 : x
  2. Step 2: Convert to fraction form
    280,563.85/387,178.11 = 153,239.75/x
  3. Step 3: Cross multiply
    280,563.85x = 387,178.11 × 153,239.75
  4. Step 4: Simplify right side
    280,563.85x = 59,331,074,845.98
  5. Step 5: Solve for x
    x = 59,331,074,845.98/280,563.85
  6. Step 6: Final answer
    x = 211,470.85

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1.5x scale

Why These Related Problems?

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