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Finding the Fourth Proportional to 352,150.80, 527,416.20 and 289,165.20

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Solution

The fourth proportional to 352,150.80, 527,416.20 and 289,165.20 is: 433,082.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,150.80 : 527,416.20 = 289,165.20 : x
  2. Step 2: Convert to fraction form
    352,150.80/527,416.20 = 289,165.20/x
  3. Step 3: Cross multiply
    352,150.80x = 527,416.20 × 289,165.20
  4. Step 4: Simplify right side
    352,150.80x = 152,510,410,956.24
  5. Step 5: Solve for x
    x = 152,510,410,956.24/352,150.80
  6. Step 6: Final answer
    x = 433,082.68

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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.