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Finding the Fourth Proportional to 1,469,541.84, 2,027,959.77 and 824,961.86

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Solution

The fourth proportional to 1,469,541.84, 2,027,959.77 and 824,961.86 is: 1,138,442.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469,541.84 : 2,027,959.77 = 824,961.86 : x
  2. Step 2: Convert to fraction form
    1,469,541.84/2,027,959.77 = 824,961.86/x
  3. Step 3: Cross multiply
    1,469,541.84x = 2,027,959.77 × 824,961.86
  4. Step 4: Simplify right side
    1,469,541.84x = 1,672,989,453,724.57
  5. Step 5: Solve for x
    x = 1,672,989,453,724.57/1,469,541.84
  6. Step 6: Final answer
    x = 1,138,442.89

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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.