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Finding the Fourth Proportional to 409,363.50, 564,899.76 and 225,596.10

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Solution

The fourth proportional to 409,363.50, 564,899.76 and 225,596.10 is: 311,310.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,363.50 : 564,899.76 = 225,596.10 : x
  2. Step 2: Convert to fraction form
    409,363.50/564,899.76 = 225,596.10/x
  3. Step 3: Cross multiply
    409,363.50x = 564,899.76 × 225,596.10
  4. Step 4: Simplify right side
    409,363.50x = 127,439,182,746.94
  5. Step 5: Solve for x
    x = 127,439,182,746.94/409,363.50
  6. Step 6: Final answer
    x = 311,310.57

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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.