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Finding the Fourth Proportional to 566,294.64, 781,161.56 and 353,958

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Solution

The fourth proportional to 566,294.64, 781,161.56 and 353,958 is: 488,258.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,294.64 : 781,161.56 = 353,958 : x
  2. Step 2: Convert to fraction form
    566,294.64/781,161.56 = 353,958/x
  3. Step 3: Cross multiply
    566,294.64x = 781,161.56 × 353,958
  4. Step 4: Simplify right side
    566,294.64x = 276,498,383,454.48
  5. Step 5: Solve for x
    x = 276,498,383,454.48/566,294.64
  6. Step 6: Final answer
    x = 488,258.87

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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.