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Finding the Fourth Proportional to 411,967.34, 617,452.00 and 174,811.80

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Solution

The fourth proportional to 411,967.34, 617,452.00 and 174,811.80 is: 262,005.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,967.34 : 617,452.00 = 174,811.80 : x
  2. Step 2: Convert to fraction form
    411,967.34/617,452.00 = 174,811.80/x
  3. Step 3: Cross multiply
    411,967.34x = 617,452.00 × 174,811.80
  4. Step 4: Simplify right side
    411,967.34x = 107,937,898,395.33
  5. Step 5: Solve for x
    x = 107,937,898,395.33/411,967.34
  6. Step 6: Final answer
    x = 262,005.96

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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.