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Finding the Fourth Proportional to 352,003.20, 527,810.40 and 141,403.20

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Solution

The fourth proportional to 352,003.20, 527,810.40 and 141,403.20 is: 212,026.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,003.20 : 527,810.40 = 141,403.20 : x
  2. Step 2: Convert to fraction form
    352,003.20/527,810.40 = 141,403.20/x
  3. Step 3: Cross multiply
    352,003.20x = 527,810.40 × 141,403.20
  4. Step 4: Simplify right side
    352,003.20x = 74,634,079,553.28
  5. Step 5: Solve for x
    x = 74,634,079,553.28/352,003.20
  6. Step 6: Final answer
    x = 212,026.71

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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.