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Finding the Fourth Proportional to 469,772.48, 704,766.36 and 203,577.68

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Solution

The fourth proportional to 469,772.48, 704,766.36 and 203,577.68 is: 305,413.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,772.48 : 704,766.36 = 203,577.68 : x
  2. Step 2: Convert to fraction form
    469,772.48/704,766.36 = 203,577.68/x
  3. Step 3: Cross multiply
    469,772.48x = 704,766.36 × 203,577.68
  4. Step 4: Simplify right side
    469,772.48x = 143,474,700,510.85
  5. Step 5: Solve for x
    x = 143,474,700,510.85/469,772.48
  6. Step 6: Final answer
    x = 305,413.17

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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.