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Finding the Fourth Proportional to 264,643.70, 396,965.55 and 201,658.10

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Solution

The fourth proportional to 264,643.70, 396,965.55 and 201,658.10 is: 302,487.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,643.70 : 396,965.55 = 201,658.10 : x
  2. Step 2: Convert to fraction form
    264,643.70/396,965.55 = 201,658.10/x
  3. Step 3: Cross multiply
    264,643.70x = 396,965.55 × 201,658.10
  4. Step 4: Simplify right side
    264,643.70x = 80,051,318,578.46
  5. Step 5: Solve for x
    x = 80,051,318,578.46/264,643.70
  6. Step 6: Final answer
    x = 302,487.15

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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.