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Finding the Fourth Proportional to 422,593.36, 633,913.17 and 107,053

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Solution

The fourth proportional to 422,593.36, 633,913.17 and 107,053 is: 160,585.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,593.36 : 633,913.17 = 107,053 : x
  2. Step 2: Convert to fraction form
    422,593.36/633,913.17 = 107,053/x
  3. Step 3: Cross multiply
    422,593.36x = 633,913.17 × 107,053
  4. Step 4: Simplify right side
    422,593.36x = 67,862,306,588.01
  5. Step 5: Solve for x
    x = 67,862,306,588.01/422,593.36
  6. Step 6: Final answer
    x = 160,585.36

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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.