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Finding the Fourth Proportional to 416,103.93, 624,353.34 and 288,216.87

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Solution

The fourth proportional to 416,103.93, 624,353.34 and 288,216.87 is: 432,462.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,103.93 : 624,353.34 = 288,216.87 : x
  2. Step 2: Convert to fraction form
    416,103.93/624,353.34 = 288,216.87/x
  3. Step 3: Cross multiply
    416,103.93x = 624,353.34 × 288,216.87
  4. Step 4: Simplify right side
    416,103.93x = 179,949,164,168.33
  5. Step 5: Solve for x
    x = 179,949,164,168.33/416,103.93
  6. Step 6: Final answer
    x = 432,462.06

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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.