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Finding the Fourth Proportional to 422,463.84, 582,996.29 and 228,867.11

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Solution

The fourth proportional to 422,463.84, 582,996.29 and 228,867.11 is: 315,834.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,463.84 : 582,996.29 = 228,867.11 : x
  2. Step 2: Convert to fraction form
    422,463.84/582,996.29 = 228,867.11/x
  3. Step 3: Cross multiply
    422,463.84x = 582,996.29 × 228,867.11
  4. Step 4: Simplify right side
    422,463.84x = 133,428,671,973.71
  5. Step 5: Solve for x
    x = 133,428,671,973.71/422,463.84
  6. Step 6: Final answer
    x = 315,834.54

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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.