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Finding the Fourth Proportional to 397,140.20, 595,815.90 and 172,404.20

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Solution

The fourth proportional to 397,140.20, 595,815.90 and 172,404.20 is: 258,652.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,140.20 : 595,815.90 = 172,404.20 : x
  2. Step 2: Convert to fraction form
    397,140.20/595,815.90 = 172,404.20/x
  3. Step 3: Cross multiply
    397,140.20x = 595,815.90 × 172,404.20
  4. Step 4: Simplify right side
    397,140.20x = 102,721,163,586.78
  5. Step 5: Solve for x
    x = 102,721,163,586.78/397,140.20
  6. Step 6: Final answer
    x = 258,652.14

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1.5x scale

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.