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Finding the Fourth Proportional to 416,391.48, 624,493.82 and 191,535.98

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Solution

The fourth proportional to 416,391.48, 624,493.82 and 191,535.98 is: 287,261.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,391.48 : 624,493.82 = 191,535.98 : x
  2. Step 2: Convert to fraction form
    416,391.48/624,493.82 = 191,535.98/x
  3. Step 3: Cross multiply
    416,391.48x = 624,493.82 × 191,535.98
  4. Step 4: Simplify right side
    416,391.48x = 119,613,033,174.01
  5. Step 5: Solve for x
    x = 119,613,033,174.01/416,391.48
  6. Step 6: Final answer
    x = 287,261.00

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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.