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Finding the Fourth Proportional to 389,852.38, 538,000.80 and 228,710.20

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Solution

The fourth proportional to 389,852.38, 538,000.80 and 228,710.20 is: 315,622.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,852.38 : 538,000.80 = 228,710.20 : x
  2. Step 2: Convert to fraction form
    389,852.38/538,000.80 = 228,710.20/x
  3. Step 3: Cross multiply
    389,852.38x = 538,000.80 × 228,710.20
  4. Step 4: Simplify right side
    389,852.38x = 123,046,270,568.16
  5. Step 5: Solve for x
    x = 123,046,270,568.16/389,852.38
  6. Step 6: Final answer
    x = 315,622.73

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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.