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Finding the Fourth Proportional to 409,002.50, 564,277.34 and 236,826.47

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Solution

The fourth proportional to 409,002.50, 564,277.34 and 236,826.47 is: 326,735.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,002.50 : 564,277.34 = 236,826.47 : x
  2. Step 2: Convert to fraction form
    409,002.50/564,277.34 = 236,826.47/x
  3. Step 3: Cross multiply
    409,002.50x = 564,277.34 × 236,826.47
  4. Step 4: Simplify right side
    409,002.50x = 133,635,812,535.95
  5. Step 5: Solve for x
    x = 133,635,812,535.95/409,002.50
  6. Step 6: Final answer
    x = 326,735.93

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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.