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Finding the Fourth Proportional to 331,462.40, 497,366.40 and 144,492.80

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Solution

The fourth proportional to 331,462.40, 497,366.40 and 144,492.80 is: 216,814.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,462.40 : 497,366.40 = 144,492.80 : x
  2. Step 2: Convert to fraction form
    331,462.40/497,366.40 = 144,492.80/x
  3. Step 3: Cross multiply
    331,462.40x = 497,366.40 × 144,492.80
  4. Step 4: Simplify right side
    331,462.40x = 71,865,863,761.92
  5. Step 5: Solve for x
    x = 71,865,863,761.92/331,462.40
  6. Step 6: Final answer
    x = 216,814.53

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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.