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Finding the Fourth Proportional to 397,204.66, 595,619.28 and 144,308.80

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Solution

The fourth proportional to 397,204.66, 595,619.28 and 144,308.80 is: 216,395.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,204.66 : 595,619.28 = 144,308.80 : x
  2. Step 2: Convert to fraction form
    397,204.66/595,619.28 = 144,308.80/x
  3. Step 3: Cross multiply
    397,204.66x = 595,619.28 × 144,308.80
  4. Step 4: Simplify right side
    397,204.66x = 85,953,103,553.66
  5. Step 5: Solve for x
    x = 85,953,103,553.66/397,204.66
  6. Step 6: Final answer
    x = 216,395.00

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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.