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Finding the Fourth Proportional to 411,439.87, 617,000.25 and 141,516.69

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Solution

The fourth proportional to 411,439.87, 617,000.25 and 141,516.69 is: 212,220.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,439.87 : 617,000.25 = 141,516.69 : x
  2. Step 2: Convert to fraction form
    411,439.87/617,000.25 = 141,516.69/x
  3. Step 3: Cross multiply
    411,439.87x = 617,000.25 × 141,516.69
  4. Step 4: Simplify right side
    411,439.87x = 87,315,830,024.17
  5. Step 5: Solve for x
    x = 87,315,830,024.17/411,439.87
  6. Step 6: Final answer
    x = 212,220.15

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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.