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Finding the Fourth Proportional to 416,569.80, 624,708.90 and 216,823.80

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Solution

The fourth proportional to 416,569.80, 624,708.90 and 216,823.80 is: 325,159.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,569.80 : 624,708.90 = 216,823.80 : x
  2. Step 2: Convert to fraction form
    416,569.80/624,708.90 = 216,823.80/x
  3. Step 3: Cross multiply
    416,569.80x = 624,708.90 × 216,823.80
  4. Step 4: Simplify right side
    416,569.80x = 135,451,757,591.82
  5. Step 5: Solve for x
    x = 135,451,757,591.82/416,569.80
  6. Step 6: Final answer
    x = 325,159.81

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1.5x scale

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.