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Finding the Fourth Proportional to 378,003.10, 567,004.65 and 228,703.90

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Solution

The fourth proportional to 378,003.10, 567,004.65 and 228,703.90 is: 343,055.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,003.10 : 567,004.65 = 228,703.90 : x
  2. Step 2: Convert to fraction form
    378,003.10/567,004.65 = 228,703.90/x
  3. Step 3: Cross multiply
    378,003.10x = 567,004.65 × 228,703.90
  4. Step 4: Simplify right side
    378,003.10x = 129,676,174,773.14
  5. Step 5: Solve for x
    x = 129,676,174,773.14/378,003.10
  6. Step 6: Final answer
    x = 343,055.85

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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.