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Finding the Fourth Proportional to 411,541.59, 617,423.31 and 171,575.73

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Solution

The fourth proportional to 411,541.59, 617,423.31 and 171,575.73 is: 257,409.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,541.59 : 617,423.31 = 171,575.73 : x
  2. Step 2: Convert to fraction form
    411,541.59/617,423.31 = 171,575.73/x
  3. Step 3: Cross multiply
    411,541.59x = 617,423.31 × 171,575.73
  4. Step 4: Simplify right side
    411,541.59x = 105,934,855,132.27
  5. Step 5: Solve for x
    x = 105,934,855,132.27/411,541.59
  6. Step 6: Final answer
    x = 257,409.84

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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.