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Finding the Fourth Proportional to 538,348.20, 808,397.10 and 389,632.20

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Solution

The fourth proportional to 538,348.20, 808,397.10 and 389,632.20 is: 585,081.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,348.20 : 808,397.10 = 389,632.20 : x
  2. Step 2: Convert to fraction form
    538,348.20/808,397.10 = 389,632.20/x
  3. Step 3: Cross multiply
    538,348.20x = 808,397.10 × 389,632.20
  4. Step 4: Simplify right side
    538,348.20x = 314,977,540,546.62
  5. Step 5: Solve for x
    x = 314,977,540,546.62/538,348.20
  6. Step 6: Final answer
    x = 585,081.44

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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.