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Finding the Fourth Proportional to 403,876.70, 605,815.05 and 401,111.90

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Solution

The fourth proportional to 403,876.70, 605,815.05 and 401,111.90 is: 601,667.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,876.70 : 605,815.05 = 401,111.90 : x
  2. Step 2: Convert to fraction form
    403,876.70/605,815.05 = 401,111.90/x
  3. Step 3: Cross multiply
    403,876.70x = 605,815.05 × 401,111.90
  4. Step 4: Simplify right side
    403,876.70x = 242,999,625,754.10
  5. Step 5: Solve for x
    x = 242,999,625,754.10/403,876.70
  6. Step 6: Final answer
    x = 601,667.85

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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.