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Finding the Fourth Proportional to 411,143.19, 616,300.80 and 171,389.85

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Solution

The fourth proportional to 411,143.19, 616,300.80 and 171,389.85 is: 256,912.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,143.19 : 616,300.80 = 171,389.85 : x
  2. Step 2: Convert to fraction form
    411,143.19/616,300.80 = 171,389.85/x
  3. Step 3: Cross multiply
    411,143.19x = 616,300.80 × 171,389.85
  4. Step 4: Simplify right side
    411,143.19x = 105,627,701,410.45
  5. Step 5: Solve for x
    x = 105,627,701,410.45/411,143.19
  6. Step 6: Final answer
    x = 256,912.20

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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.