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Finding the Fourth Proportional to 498,850.56, 748,253.16 and 183,284.28

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Solution

The fourth proportional to 498,850.56, 748,253.16 and 183,284.28 is: 274,918.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,850.56 : 748,253.16 = 183,284.28 : x
  2. Step 2: Convert to fraction form
    498,850.56/748,253.16 = 183,284.28/x
  3. Step 3: Cross multiply
    498,850.56x = 748,253.16 × 183,284.28
  4. Step 4: Simplify right side
    498,850.56x = 137,143,041,688.33
  5. Step 5: Solve for x
    x = 137,143,041,688.33/498,850.56
  6. Step 6: Final answer
    x = 274,918.09

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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.