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Finding the Fourth Proportional to 397,661.97, 596,492.96 and 144,961.41

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Solution

The fourth proportional to 397,661.97, 596,492.96 and 144,961.41 is: 217,442.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,661.97 : 596,492.96 = 144,961.41 : x
  2. Step 2: Convert to fraction form
    397,661.97/596,492.96 = 144,961.41/x
  3. Step 3: Cross multiply
    397,661.97x = 596,492.96 × 144,961.41
  4. Step 4: Simplify right side
    397,661.97x = 86,468,459,811.87
  5. Step 5: Solve for x
    x = 86,468,459,811.87/397,661.97
  6. Step 6: Final answer
    x = 217,442.12

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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.