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Finding the Fourth Proportional to 416,671.40, 624,174.63 and 191,723.42

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Solution

The fourth proportional to 416,671.40, 624,174.63 and 191,723.42 is: 287,202.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,671.40 : 624,174.63 = 191,723.42 : x
  2. Step 2: Convert to fraction form
    416,671.40/624,174.63 = 191,723.42/x
  3. Step 3: Cross multiply
    416,671.40x = 624,174.63 × 191,723.42
  4. Step 4: Simplify right side
    416,671.40x = 119,668,894,740.84
  5. Step 5: Solve for x
    x = 119,668,894,740.84/416,671.40
  6. Step 6: Final answer
    x = 287,202.08

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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.