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Finding the Fourth Proportional to 397,063.62, 595,531.44 and 144,333.90

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Solution

The fourth proportional to 397,063.62, 595,531.44 and 144,333.90 is: 216,477.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,063.62 : 595,531.44 = 144,333.90 : x
  2. Step 2: Convert to fraction form
    397,063.62/595,531.44 = 144,333.90/x
  3. Step 3: Cross multiply
    397,063.62x = 595,531.44 × 144,333.90
  4. Step 4: Simplify right side
    397,063.62x = 85,955,375,307.82
  5. Step 5: Solve for x
    x = 85,955,375,307.82/397,063.62
  6. Step 6: Final answer
    x = 216,477.59

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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.