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Finding the Fourth Proportional to 411,488.28, 617,259.75 and 158,771.91

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Solution

The fourth proportional to 411,488.28, 617,259.75 and 158,771.91 is: 238,168.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,488.28 : 617,259.75 = 158,771.91 : x
  2. Step 2: Convert to fraction form
    411,488.28/617,259.75 = 158,771.91/x
  3. Step 3: Cross multiply
    411,488.28x = 617,259.75 × 158,771.91
  4. Step 4: Simplify right side
    411,488.28x = 98,003,509,473.62
  5. Step 5: Solve for x
    x = 98,003,509,473.62/411,488.28
  6. Step 6: Final answer
    x = 238,168.41

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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.