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Finding the Fourth Proportional to 597,325.20, 895,976.28 and 148,047

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Solution

The fourth proportional to 597,325.20, 895,976.28 and 148,047 is: 222,067.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,325.20 : 895,976.28 = 148,047 : x
  2. Step 2: Convert to fraction form
    597,325.20/895,976.28 = 148,047/x
  3. Step 3: Cross multiply
    597,325.20x = 895,976.28 × 148,047
  4. Step 4: Simplify right side
    597,325.20x = 132,646,600,325.16
  5. Step 5: Solve for x
    x = 132,646,600,325.16/597,325.20
  6. Step 6: Final answer
    x = 222,067.64

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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.