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Finding the Fourth Proportional to 416,396.40, 624,501.12 and 191,540.88

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Solution

The fourth proportional to 416,396.40, 624,501.12 and 191,540.88 is: 287,268.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,396.40 : 624,501.12 = 191,540.88 : x
  2. Step 2: Convert to fraction form
    416,396.40/624,501.12 = 191,540.88/x
  3. Step 3: Cross multiply
    416,396.40x = 624,501.12 × 191,540.88
  4. Step 4: Simplify right side
    416,396.40x = 119,617,494,085.79
  5. Step 5: Solve for x
    x = 119,617,494,085.79/416,396.40
  6. Step 6: Final answer
    x = 287,268.32

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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.