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Finding the Fourth Proportional to 409,224.66, 564,758.40 and 248,086.50

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Solution

The fourth proportional to 409,224.66, 564,758.40 and 248,086.50 is: 342,376.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,224.66 : 564,758.40 = 248,086.50 : x
  2. Step 2: Convert to fraction form
    409,224.66/564,758.40 = 248,086.50/x
  3. Step 3: Cross multiply
    409,224.66x = 564,758.40 × 248,086.50
  4. Step 4: Simplify right side
    409,224.66x = 140,108,934,801.60
  5. Step 5: Solve for x
    x = 140,108,934,801.60/409,224.66
  6. Step 6: Final answer
    x = 342,376.57

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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.