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Finding the Fourth Proportional to 442,784.68, 663,868.85 and 196,174.37

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Solution

The fourth proportional to 442,784.68, 663,868.85 and 196,174.37 is: 294,125.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,784.68 : 663,868.85 = 196,174.37 : x
  2. Step 2: Convert to fraction form
    442,784.68/663,868.85 = 196,174.37/x
  3. Step 3: Cross multiply
    442,784.68x = 663,868.85 × 196,174.37
  4. Step 4: Simplify right side
    442,784.68x = 130,234,054,090.18
  5. Step 5: Solve for x
    x = 130,234,054,090.18/442,784.68
  6. Step 6: Final answer
    x = 294,125.02

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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.