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Finding the Fourth Proportional to 410,094.31, 566,286.15 and 257,397.16

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Solution

The fourth proportional to 410,094.31, 566,286.15 and 257,397.16 is: 355,431.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,094.31 : 566,286.15 = 257,397.16 : x
  2. Step 2: Convert to fraction form
    410,094.31/566,286.15 = 257,397.16/x
  3. Step 3: Cross multiply
    410,094.31x = 566,286.15 × 257,397.16
  4. Step 4: Simplify right side
    410,094.31x = 145,760,446,757.33
  5. Step 5: Solve for x
    x = 145,760,446,757.33/410,094.31
  6. Step 6: Final answer
    x = 355,431.53

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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.