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Finding the Fourth Proportional to 412,788.60, 569,654.06 and 249,422.44

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Solution

The fourth proportional to 412,788.60, 569,654.06 and 249,422.44 is: 344,206.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,788.60 : 569,654.06 = 249,422.44 : x
  2. Step 2: Convert to fraction form
    412,788.60/569,654.06 = 249,422.44/x
  3. Step 3: Cross multiply
    412,788.60x = 569,654.06 × 249,422.44
  4. Step 4: Simplify right side
    412,788.60x = 142,084,505,601.11
  5. Step 5: Solve for x
    x = 142,084,505,601.11/412,788.60
  6. Step 6: Final answer
    x = 344,206.47

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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.