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Finding the Fourth Proportional to 397,186.67, 595,592.82 and 144,288.83

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Solution

The fourth proportional to 397,186.67, 595,592.82 and 144,288.83 is: 216,365.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,186.67 : 595,592.82 = 144,288.83 : x
  2. Step 2: Convert to fraction form
    397,186.67/595,592.82 = 144,288.83/x
  3. Step 3: Cross multiply
    397,186.67x = 595,592.82 × 144,288.83
  4. Step 4: Simplify right side
    397,186.67x = 85,937,392,643.18
  5. Step 5: Solve for x
    x = 85,937,392,643.18/397,186.67
  6. Step 6: Final answer
    x = 216,365.25

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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.