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Finding the Fourth Proportional to 284,244.54, 392,247.16 and 156,917.40

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Solution

The fourth proportional to 284,244.54, 392,247.16 and 156,917.40 is: 216,540.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,244.54 : 392,247.16 = 156,917.40 : x
  2. Step 2: Convert to fraction form
    284,244.54/392,247.16 = 156,917.40/x
  3. Step 3: Cross multiply
    284,244.54x = 392,247.16 × 156,917.40
  4. Step 4: Simplify right side
    284,244.54x = 61,550,404,504.58
  5. Step 5: Solve for x
    x = 61,550,404,504.58/284,244.54
  6. Step 6: Final answer
    x = 216,540.32

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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.