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Finding the Fourth Proportional to 398,383.20, 597,866.40 and 265,219.20

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Solution

The fourth proportional to 398,383.20, 597,866.40 and 265,219.20 is: 398,022.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,383.20 : 597,866.40 = 265,219.20 : x
  2. Step 2: Convert to fraction form
    398,383.20/597,866.40 = 265,219.20/x
  3. Step 3: Cross multiply
    398,383.20x = 597,866.40 × 265,219.20
  4. Step 4: Simplify right side
    398,383.20x = 158,565,648,314.88
  5. Step 5: Solve for x
    x = 158,565,648,314.88/398,383.20
  6. Step 6: Final answer
    x = 398,022.93

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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.