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Finding the Fourth Proportional to 534,954.67, 801,866.31 and 197,778.76

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Solution

The fourth proportional to 534,954.67, 801,866.31 and 197,778.76 is: 296,459.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,954.67 : 801,866.31 = 197,778.76 : x
  2. Step 2: Convert to fraction form
    534,954.67/801,866.31 = 197,778.76/x
  3. Step 3: Cross multiply
    534,954.67x = 801,866.31 × 197,778.76
  4. Step 4: Simplify right side
    534,954.67x = 158,592,124,477.58
  5. Step 5: Solve for x
    x = 158,592,124,477.58/534,954.67
  6. Step 6: Final answer
    x = 296,459.00

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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.