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Finding the Fourth Proportional to 396,952.96, 595,079.52 and 147,460

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Solution

The fourth proportional to 396,952.96, 595,079.52 and 147,460 is: 221,060.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,952.96 : 595,079.52 = 147,460 : x
  2. Step 2: Convert to fraction form
    396,952.96/595,079.52 = 147,460/x
  3. Step 3: Cross multiply
    396,952.96x = 595,079.52 × 147,460
  4. Step 4: Simplify right side
    396,952.96x = 87,750,426,019.20
  5. Step 5: Solve for x
    x = 87,750,426,019.20/396,952.96
  6. Step 6: Final answer
    x = 221,060.01

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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.