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Finding the Fourth Proportional to 284,522.96, 392,477.30 and 182,512.17

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Solution

The fourth proportional to 284,522.96, 392,477.30 and 182,512.17 is: 251,761.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,522.96 : 392,477.30 = 182,512.17 : x
  2. Step 2: Convert to fraction form
    284,522.96/392,477.30 = 182,512.17/x
  3. Step 3: Cross multiply
    284,522.96x = 392,477.30 × 182,512.17
  4. Step 4: Simplify right side
    284,522.96x = 71,631,883,470.60
  5. Step 5: Solve for x
    x = 71,631,883,470.60/284,522.96
  6. Step 6: Final answer
    x = 251,761.34

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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.