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Finding the Fourth Proportional to 402,135.16, 554,947.20 and 220,858.78

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Solution

The fourth proportional to 402,135.16, 554,947.20 and 220,858.78 is: 304,785.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,135.16 : 554,947.20 = 220,858.78 : x
  2. Step 2: Convert to fraction form
    402,135.16/554,947.20 = 220,858.78/x
  3. Step 3: Cross multiply
    402,135.16x = 554,947.20 × 220,858.78
  4. Step 4: Simplify right side
    402,135.16x = 122,564,961,556.42
  5. Step 5: Solve for x
    x = 122,564,961,556.42/402,135.16
  6. Step 6: Final answer
    x = 304,785.49

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