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Finding the Fourth Proportional to 411,604.81, 617,253.76 and 141,657.53

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Solution

The fourth proportional to 411,604.81, 617,253.76 and 141,657.53 is: 212,433.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,604.81 : 617,253.76 = 141,657.53 : x
  2. Step 2: Convert to fraction form
    411,604.81/617,253.76 = 141,657.53/x
  3. Step 3: Cross multiply
    411,604.81x = 617,253.76 × 141,657.53
  4. Step 4: Simplify right side
    411,604.81x = 87,438,640,115.62
  5. Step 5: Solve for x
    x = 87,438,640,115.62/411,604.81
  6. Step 6: Final answer
    x = 212,433.48

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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.