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Finding the Fourth Proportional to 409,027.52, 564,481.30 and 245,733.98

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Solution

The fourth proportional to 409,027.52, 564,481.30 and 245,733.98 is: 339,126.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,027.52 : 564,481.30 = 245,733.98 : x
  2. Step 2: Convert to fraction form
    409,027.52/564,481.30 = 245,733.98/x
  3. Step 3: Cross multiply
    409,027.52x = 564,481.30 × 245,733.98
  4. Step 4: Simplify right side
    409,027.52x = 138,712,236,484.57
  5. Step 5: Solve for x
    x = 138,712,236,484.57/409,027.52
  6. Step 6: Final answer
    x = 339,126.90

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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.