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Finding the Fourth Proportional to 411,534.20, 617,301.30 and 366,919.40

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Solution

The fourth proportional to 411,534.20, 617,301.30 and 366,919.40 is: 550,379.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,534.20 : 617,301.30 = 366,919.40 : x
  2. Step 2: Convert to fraction form
    411,534.20/617,301.30 = 366,919.40/x
  3. Step 3: Cross multiply
    411,534.20x = 617,301.30 × 366,919.40
  4. Step 4: Simplify right side
    411,534.20x = 226,499,822,615.22
  5. Step 5: Solve for x
    x = 226,499,822,615.22/411,534.20
  6. Step 6: Final answer
    x = 550,379.10

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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.