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Finding the Fourth Proportional to 375,762.60, 518,572.26 and 206,003.88

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Solution

The fourth proportional to 375,762.60, 518,572.26 and 206,003.88 is: 284,296.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,762.60 : 518,572.26 = 206,003.88 : x
  2. Step 2: Convert to fraction form
    375,762.60/518,572.26 = 206,003.88/x
  3. Step 3: Cross multiply
    375,762.60x = 518,572.26 × 206,003.88
  4. Step 4: Simplify right side
    375,762.60x = 106,827,897,620.37
  5. Step 5: Solve for x
    x = 106,827,897,620.37/375,762.60
  6. Step 6: Final answer
    x = 284,296.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.