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Finding the Fourth Proportional to 664,733.50, 997,351.51 and 260,214.78

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Solution

The fourth proportional to 664,733.50, 997,351.51 and 260,214.78 is: 390,420.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,733.50 : 997,351.51 = 260,214.78 : x
  2. Step 2: Convert to fraction form
    664,733.50/997,351.51 = 260,214.78/x
  3. Step 3: Cross multiply
    664,733.50x = 997,351.51 × 260,214.78
  4. Step 4: Simplify right side
    664,733.50x = 259,525,603,757.32
  5. Step 5: Solve for x
    x = 259,525,603,757.32/664,733.50
  6. Step 6: Final answer
    x = 390,420.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.