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Finding the Fourth Proportional to 482,257.62, 723,379.14 and 201,774.87

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Solution

The fourth proportional to 482,257.62, 723,379.14 and 201,774.87 is: 302,659.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,257.62 : 723,379.14 = 201,774.87 : x
  2. Step 2: Convert to fraction form
    482,257.62/723,379.14 = 201,774.87/x
  3. Step 3: Cross multiply
    482,257.62x = 723,379.14 × 201,774.87
  4. Step 4: Simplify right side
    482,257.62x = 145,959,731,934.21
  5. Step 5: Solve for x
    x = 145,959,731,934.21/482,257.62
  6. Step 6: Final answer
    x = 302,659.25

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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.