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Finding the Fourth Proportional to 411,722.95, 617,156.27 and 159,176.90

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Solution

The fourth proportional to 411,722.95, 617,156.27 and 159,176.90 is: 238,599.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,722.95 : 617,156.27 = 159,176.90 : x
  2. Step 2: Convert to fraction form
    411,722.95/617,156.27 = 159,176.90/x
  3. Step 3: Cross multiply
    411,722.95x = 617,156.27 × 159,176.90
  4. Step 4: Simplify right side
    411,722.95x = 98,237,021,078.28
  5. Step 5: Solve for x
    x = 98,237,021,078.28/411,722.95
  6. Step 6: Final answer
    x = 238,599.82

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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.