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Finding the Fourth Proportional to 498,546.36, 747,918.12 and 183,006

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Solution

The fourth proportional to 498,546.36, 747,918.12 and 183,006 is: 274,545.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,546.36 : 747,918.12 = 183,006 : x
  2. Step 2: Convert to fraction form
    498,546.36/747,918.12 = 183,006/x
  3. Step 3: Cross multiply
    498,546.36x = 747,918.12 × 183,006
  4. Step 4: Simplify right side
    498,546.36x = 136,873,503,468.72
  5. Step 5: Solve for x
    x = 136,873,503,468.72/498,546.36
  6. Step 6: Final answer
    x = 274,545.19

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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.