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Finding the Fourth Proportional to 410,693.77, 616,062.41 and 126,579.46

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Solution

The fourth proportional to 410,693.77, 616,062.41 and 126,579.46 is: 189,875.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,693.77 : 616,062.41 = 126,579.46 : x
  2. Step 2: Convert to fraction form
    410,693.77/616,062.41 = 126,579.46/x
  3. Step 3: Cross multiply
    410,693.77x = 616,062.41 × 126,579.46
  4. Step 4: Simplify right side
    410,693.77x = 77,980,846,640.84
  5. Step 5: Solve for x
    x = 77,980,846,640.84/410,693.77
  6. Step 6: Final answer
    x = 189,875.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.