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Finding the Fourth Proportional to 409,164.20, 564,493.80 and 408,533.42

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Solution

The fourth proportional to 409,164.20, 564,493.80 and 408,533.42 is: 563,623.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,164.20 : 564,493.80 = 408,533.42 : x
  2. Step 2: Convert to fraction form
    409,164.20/564,493.80 = 408,533.42/x
  3. Step 3: Cross multiply
    409,164.20x = 564,493.80 × 408,533.42
  4. Step 4: Simplify right side
    409,164.20x = 230,614,582,682.80
  5. Step 5: Solve for x
    x = 230,614,582,682.80/409,164.20
  6. Step 6: Final answer
    x = 563,623.56

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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.