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Finding the Fourth Proportional to 474,138.46, 654,310.80 and 259,278.52

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Solution

The fourth proportional to 474,138.46, 654,310.80 and 259,278.52 is: 357,804.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,138.46 : 654,310.80 = 259,278.52 : x
  2. Step 2: Convert to fraction form
    474,138.46/654,310.80 = 259,278.52/x
  3. Step 3: Cross multiply
    474,138.46x = 654,310.80 × 259,278.52
  4. Step 4: Simplify right side
    474,138.46x = 169,648,735,844.02
  5. Step 5: Solve for x
    x = 169,648,735,844.02/474,138.46
  6. Step 6: Final answer
    x = 357,804.21

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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.