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Finding the Fourth Proportional to 416,033.16, 624,439.76 and 216,494.93

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Solution

The fourth proportional to 416,033.16, 624,439.76 and 216,494.93 is: 324,945.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,033.16 : 624,439.76 = 216,494.93 : x
  2. Step 2: Convert to fraction form
    416,033.16/624,439.76 = 216,494.93/x
  3. Step 3: Cross multiply
    416,033.16x = 624,439.76 × 216,494.93
  4. Step 4: Simplify right side
    416,033.16x = 135,188,037,925.74
  5. Step 5: Solve for x
    x = 135,188,037,925.74/416,033.16
  6. Step 6: Final answer
    x = 324,945.34

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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.