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Finding the Fourth Proportional to 523,713.78, 785,616.24 and 144,635.04

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Solution

The fourth proportional to 523,713.78, 785,616.24 and 144,635.04 is: 216,965.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,713.78 : 785,616.24 = 144,635.04 : x
  2. Step 2: Convert to fraction form
    523,713.78/785,616.24 = 144,635.04/x
  3. Step 3: Cross multiply
    523,713.78x = 785,616.24 × 144,635.04
  4. Step 4: Simplify right side
    523,713.78x = 113,627,636,297.05
  5. Step 5: Solve for x
    x = 113,627,636,297.05/523,713.78
  6. Step 6: Final answer
    x = 216,965.15

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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.