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Finding the Fourth Proportional to 355,758.40, 533,464.80 and 197,819.20

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Solution

The fourth proportional to 355,758.40, 533,464.80 and 197,819.20 is: 296,632.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,758.40 : 533,464.80 = 197,819.20 : x
  2. Step 2: Convert to fraction form
    355,758.40/533,464.80 = 197,819.20/x
  3. Step 3: Cross multiply
    355,758.40x = 533,464.80 × 197,819.20
  4. Step 4: Simplify right side
    355,758.40x = 105,529,579,964.16
  5. Step 5: Solve for x
    x = 105,529,579,964.16/355,758.40
  6. Step 6: Final answer
    x = 296,632.71

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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.