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Finding the Fourth Proportional to 456,385.50, 684,914.60 and 216,500.15

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Solution

The fourth proportional to 456,385.50, 684,914.60 and 216,500.15 is: 324,909.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,385.50 : 684,914.60 = 216,500.15 : x
  2. Step 2: Convert to fraction form
    456,385.50/684,914.60 = 216,500.15/x
  3. Step 3: Cross multiply
    456,385.50x = 684,914.60 × 216,500.15
  4. Step 4: Simplify right side
    456,385.50x = 148,284,113,637.19
  5. Step 5: Solve for x
    x = 148,284,113,637.19/456,385.50
  6. Step 6: Final answer
    x = 324,909.78

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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.