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Finding the Fourth Proportional to 403,387.80, 605,081.70 and 193,435.80

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Solution

The fourth proportional to 403,387.80, 605,081.70 and 193,435.80 is: 290,153.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,387.80 : 605,081.70 = 193,435.80 : x
  2. Step 2: Convert to fraction form
    403,387.80/605,081.70 = 193,435.80/x
  3. Step 3: Cross multiply
    403,387.80x = 605,081.70 × 193,435.80
  4. Step 4: Simplify right side
    403,387.80x = 117,044,462,704.86
  5. Step 5: Solve for x
    x = 117,044,462,704.86/403,387.80
  6. Step 6: Final answer
    x = 290,153.70

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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.