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Finding the Fourth Proportional to 418,937.94, 627,914.79 and 193,822.89

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Solution

The fourth proportional to 418,937.94, 627,914.79 and 193,822.89 is: 290,506.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,937.94 : 627,914.79 = 193,822.89 : x
  2. Step 2: Convert to fraction form
    418,937.94/627,914.79 = 193,822.89/x
  3. Step 3: Cross multiply
    418,937.94x = 627,914.79 × 193,822.89
  4. Step 4: Simplify right side
    418,937.94x = 121,704,259,271.54
  5. Step 5: Solve for x
    x = 121,704,259,271.54/418,937.94
  6. Step 6: Final answer
    x = 290,506.65

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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.