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Finding the Fourth Proportional to 331,434.40, 497,324.40 and 144,464.80

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Solution

The fourth proportional to 331,434.40, 497,324.40 and 144,464.80 is: 216,772.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,434.40 : 497,324.40 = 144,464.80 : x
  2. Step 2: Convert to fraction form
    331,434.40/497,324.40 = 144,464.80/x
  3. Step 3: Cross multiply
    331,434.40x = 497,324.40 × 144,464.80
  4. Step 4: Simplify right side
    331,434.40x = 71,845,869,981.12
  5. Step 5: Solve for x
    x = 71,845,869,981.12/331,434.40
  6. Step 6: Final answer
    x = 216,772.52

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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.