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Finding the Fourth Proportional to 409,022.01, 613,563.75 and 109,495.95

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Solution

The fourth proportional to 409,022.01, 613,563.75 and 109,495.95 is: 164,252.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,022.01 : 613,563.75 = 109,495.95 : x
  2. Step 2: Convert to fraction form
    409,022.01/613,563.75 = 109,495.95/x
  3. Step 3: Cross multiply
    409,022.01x = 613,563.75 × 109,495.95
  4. Step 4: Simplify right side
    409,022.01x = 67,182,745,691.81
  5. Step 5: Solve for x
    x = 67,182,745,691.81/409,022.01
  6. Step 6: Final answer
    x = 164,252.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.