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Finding the Fourth Proportional to 691,765.60, 954,473.76 and 419,827.36

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Solution

The fourth proportional to 691,765.60, 954,473.76 and 419,827.36 is: 579,262.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,765.60 : 954,473.76 = 419,827.36 : x
  2. Step 2: Convert to fraction form
    691,765.60/954,473.76 = 419,827.36/x
  3. Step 3: Cross multiply
    691,765.60x = 954,473.76 × 419,827.36
  4. Step 4: Simplify right side
    691,765.60x = 400,714,198,850.07
  5. Step 5: Solve for x
    x = 400,714,198,850.07/691,765.60
  6. Step 6: Final answer
    x = 579,262.97

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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.