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Finding the Fourth Proportional to 409,227.66, 564,762.54 and 248,089.50

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Solution

The fourth proportional to 409,227.66, 564,762.54 and 248,089.50 is: 342,380.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,227.66 : 564,762.54 = 248,089.50 : x
  2. Step 2: Convert to fraction form
    409,227.66/564,762.54 = 248,089.50/x
  3. Step 3: Cross multiply
    409,227.66x = 564,762.54 × 248,089.50
  4. Step 4: Simplify right side
    409,227.66x = 140,111,656,167.33
  5. Step 5: Solve for x
    x = 140,111,656,167.33/409,227.66
  6. Step 6: Final answer
    x = 342,380.71

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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.