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Finding the Fourth Proportional to 474,768.77, 712,153.17 and 159,224.77

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Solution

The fourth proportional to 474,768.77, 712,153.17 and 159,224.77 is: 238,837.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,768.77 : 712,153.17 = 159,224.77 : x
  2. Step 2: Convert to fraction form
    474,768.77/712,153.17 = 159,224.77/x
  3. Step 3: Cross multiply
    474,768.77x = 712,153.17 × 159,224.77
  4. Step 4: Simplify right side
    474,768.77x = 113,392,422,917.64
  5. Step 5: Solve for x
    x = 113,392,422,917.64/474,768.77
  6. Step 6: Final answer
    x = 238,837.16

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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.