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Finding the Fourth Proportional to 422,384.59, 582,423.75 and 269,180.23

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Solution

The fourth proportional to 422,384.59, 582,423.75 and 269,180.23 is: 371,171.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,384.59 : 582,423.75 = 269,180.23 : x
  2. Step 2: Convert to fraction form
    422,384.59/582,423.75 = 269,180.23/x
  3. Step 3: Cross multiply
    422,384.59x = 582,423.75 × 269,180.23
  4. Step 4: Simplify right side
    422,384.59x = 156,776,956,070.34
  5. Step 5: Solve for x
    x = 156,776,956,070.34/422,384.59
  6. Step 6: Final answer
    x = 371,171.11

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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.