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Finding the Fourth Proportional to 459,395.20, 689,092.80 and 397,187.20

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Solution

The fourth proportional to 459,395.20, 689,092.80 and 397,187.20 is: 595,780.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,395.20 : 689,092.80 = 397,187.20 : x
  2. Step 2: Convert to fraction form
    459,395.20/689,092.80 = 397,187.20/x
  3. Step 3: Cross multiply
    459,395.20x = 689,092.80 × 397,187.20
  4. Step 4: Simplify right side
    459,395.20x = 273,698,839,772.16
  5. Step 5: Solve for x
    x = 273,698,839,772.16/459,395.20
  6. Step 6: Final answer
    x = 595,780.80

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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.