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Finding the Fourth Proportional to 411,532.22, 617,322.42 and 158,814.04

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Solution

The fourth proportional to 411,532.22, 617,322.42 and 158,814.04 is: 238,230.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,532.22 : 617,322.42 = 158,814.04 : x
  2. Step 2: Convert to fraction form
    411,532.22/617,322.42 = 158,814.04/x
  3. Step 3: Cross multiply
    411,532.22x = 617,322.42 × 158,814.04
  4. Step 4: Simplify right side
    411,532.22x = 98,039,467,502.78
  5. Step 5: Solve for x
    x = 98,039,467,502.78/411,532.22
  6. Step 6: Final answer
    x = 238,230.36

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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.