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Finding the Fourth Proportional to 417,935.20, 627,248.40 and 193,640.80

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Solution

The fourth proportional to 417,935.20, 627,248.40 and 193,640.80 is: 290,621.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,935.20 : 627,248.40 = 193,640.80 : x
  2. Step 2: Convert to fraction form
    417,935.20/627,248.40 = 193,640.80/x
  3. Step 3: Cross multiply
    417,935.20x = 627,248.40 × 193,640.80
  4. Step 4: Simplify right side
    417,935.20x = 121,460,881,974.72
  5. Step 5: Solve for x
    x = 121,460,881,974.72/417,935.20
  6. Step 6: Final answer
    x = 290,621.33

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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.