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Finding the Fourth Proportional to 457,002.78, 630,656.14 and 253,049.31

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Solution

The fourth proportional to 457,002.78, 630,656.14 and 253,049.31 is: 349,203.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,002.78 : 630,656.14 = 253,049.31 : x
  2. Step 2: Convert to fraction form
    457,002.78/630,656.14 = 253,049.31/x
  3. Step 3: Cross multiply
    457,002.78x = 630,656.14 × 253,049.31
  4. Step 4: Simplify right side
    457,002.78x = 159,587,101,074.26
  5. Step 5: Solve for x
    x = 159,587,101,074.26/457,002.78
  6. Step 6: Final answer
    x = 349,203.79

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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.