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Finding the Fourth Proportional to 416,106.10, 624,375.15 and 194,490.10

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Solution

The fourth proportional to 416,106.10, 624,375.15 and 194,490.10 is: 291,836.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,106.10 : 624,375.15 = 194,490.10 : x
  2. Step 2: Convert to fraction form
    416,106.10/624,375.15 = 194,490.10/x
  3. Step 3: Cross multiply
    416,106.10x = 624,375.15 × 194,490.10
  4. Step 4: Simplify right side
    416,106.10x = 121,434,785,361.02
  5. Step 5: Solve for x
    x = 121,434,785,361.02/416,106.10
  6. Step 6: Final answer
    x = 291,836.11

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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.