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Finding the Fourth Proportional to 397,225.64, 595,650.78 and 144,329.84

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Solution

The fourth proportional to 397,225.64, 595,650.78 and 144,329.84 is: 216,426.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,225.64 : 595,650.78 = 144,329.84 : x
  2. Step 2: Convert to fraction form
    397,225.64/595,650.78 = 144,329.84/x
  3. Step 3: Cross multiply
    397,225.64x = 595,650.78 × 144,329.84
  4. Step 4: Simplify right side
    397,225.64x = 85,970,181,773.28
  5. Step 5: Solve for x
    x = 85,970,181,773.28/397,225.64
  6. Step 6: Final answer
    x = 216,426.57

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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.