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Finding the Fourth Proportional to 419,215.20, 628,427.52 and 208,654.08

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Solution

The fourth proportional to 419,215.20, 628,427.52 and 208,654.08 is: 312,784.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,215.20 : 628,427.52 = 208,654.08 : x
  2. Step 2: Convert to fraction form
    419,215.20/628,427.52 = 208,654.08/x
  3. Step 3: Cross multiply
    419,215.20x = 628,427.52 × 208,654.08
  4. Step 4: Simplify right side
    419,215.20x = 131,123,966,032.28
  5. Step 5: Solve for x
    x = 131,123,966,032.28/419,215.20
  6. Step 6: Final answer
    x = 312,784.38

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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.