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Finding the Fourth Proportional to 474,768.03, 712,152.03 and 159,224.02

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Solution

The fourth proportional to 474,768.03, 712,152.03 and 159,224.02 is: 238,836.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,768.03 : 712,152.03 = 159,224.02 : x
  2. Step 2: Convert to fraction form
    474,768.03/712,152.03 = 159,224.02/x
  3. Step 3: Cross multiply
    474,768.03x = 712,152.03 × 159,224.02
  4. Step 4: Simplify right side
    474,768.03x = 113,391,709,067.76
  5. Step 5: Solve for x
    x = 113,391,709,067.76/474,768.03
  6. Step 6: Final answer
    x = 238,836.02

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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.