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Finding the Fourth Proportional to 284,782.40, 427,141.20 and 74,441.60

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Solution

The fourth proportional to 284,782.40, 427,141.20 and 74,441.60 is: 111,653.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,782.40 : 427,141.20 = 74,441.60 : x
  2. Step 2: Convert to fraction form
    284,782.40/427,141.20 = 74,441.60/x
  3. Step 3: Cross multiply
    284,782.40x = 427,141.20 × 74,441.60
  4. Step 4: Simplify right side
    284,782.40x = 31,797,074,353.92
  5. Step 5: Solve for x
    x = 31,797,074,353.92/284,782.40
  6. Step 6: Final answer
    x = 111,653.93

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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.