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Finding the Fourth Proportional to 295,078.20, 441,961.20 and 228,301.80

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Solution

The fourth proportional to 295,078.20, 441,961.20 and 228,301.80 is: 341,945.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,078.20 : 441,961.20 = 228,301.80 : x
  2. Step 2: Convert to fraction form
    295,078.20/441,961.20 = 228,301.80/x
  3. Step 3: Cross multiply
    295,078.20x = 441,961.20 × 228,301.80
  4. Step 4: Simplify right side
    295,078.20x = 100,900,537,490.16
  5. Step 5: Solve for x
    x = 100,900,537,490.16/295,078.20
  6. Step 6: Final answer
    x = 341,945.08

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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.