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Finding the Fourth Proportional to 474,023.88, 711,073.62 and 158,482.44

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Solution

The fourth proportional to 474,023.88, 711,073.62 and 158,482.44 is: 237,736.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,023.88 : 711,073.62 = 158,482.44 : x
  2. Step 2: Convert to fraction form
    474,023.88/711,073.62 = 158,482.44/x
  3. Step 3: Cross multiply
    474,023.88x = 711,073.62 × 158,482.44
  4. Step 4: Simplify right side
    474,023.88x = 112,692,682,317.23
  5. Step 5: Solve for x
    x = 112,692,682,317.23/474,023.88
  6. Step 6: Final answer
    x = 237,736.30

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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.