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Finding the Fourth Proportional to 355,662.40, 533,320.80 and 197,723.20

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Solution

The fourth proportional to 355,662.40, 533,320.80 and 197,723.20 is: 296,488.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,662.40 : 533,320.80 = 197,723.20 : x
  2. Step 2: Convert to fraction form
    355,662.40/533,320.80 = 197,723.20/x
  3. Step 3: Cross multiply
    355,662.40x = 533,320.80 × 197,723.20
  4. Step 4: Simplify right side
    355,662.40x = 105,449,895,202.56
  5. Step 5: Solve for x
    x = 105,449,895,202.56/355,662.40
  6. Step 6: Final answer
    x = 296,488.74

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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.