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Finding the Fourth Proportional to 397,203.66, 595,617.78 and 144,307.80

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Solution

The fourth proportional to 397,203.66, 595,617.78 and 144,307.80 is: 216,393.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,203.66 : 595,617.78 = 144,307.80 : x
  2. Step 2: Convert to fraction form
    397,203.66/595,617.78 = 144,307.80/x
  3. Step 3: Cross multiply
    397,203.66x = 595,617.78 × 144,307.80
  4. Step 4: Simplify right side
    397,203.66x = 85,952,291,472.68
  5. Step 5: Solve for x
    x = 85,952,291,472.68/397,203.66
  6. Step 6: Final answer
    x = 216,393.50

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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.