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Finding the Fourth Proportional to 397,124.88, 595,940.64 and 144,381.11

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Solution

The fourth proportional to 397,124.88, 595,940.64 and 144,381.11 is: 216,663.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,124.88 : 595,940.64 = 144,381.11 : x
  2. Step 2: Convert to fraction form
    397,124.88/595,940.64 = 144,381.11/x
  3. Step 3: Cross multiply
    397,124.88x = 595,940.64 × 144,381.11
  4. Step 4: Simplify right side
    397,124.88x = 86,042,570,064.40
  5. Step 5: Solve for x
    x = 86,042,570,064.40/397,124.88
  6. Step 6: Final answer
    x = 216,663.76

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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.