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Finding the Fourth Proportional to 527,092.64, 789,811.06 and 407,442.78

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Solution

The fourth proportional to 527,092.64, 789,811.06 and 407,442.78 is: 610,524.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,092.64 : 789,811.06 = 407,442.78 : x
  2. Step 2: Convert to fraction form
    527,092.64/789,811.06 = 407,442.78/x
  3. Step 3: Cross multiply
    527,092.64x = 789,811.06 × 407,442.78
  4. Step 4: Simplify right side
    527,092.64x = 321,802,813,961.15
  5. Step 5: Solve for x
    x = 321,802,813,961.15/527,092.64
  6. Step 6: Final answer
    x = 610,524.20

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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.