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Finding the Fourth Proportional to 498,896.84, 748,345.26 and 183,217.16

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Solution

The fourth proportional to 498,896.84, 748,345.26 and 183,217.16 is: 274,825.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,896.84 : 748,345.26 = 183,217.16 : x
  2. Step 2: Convert to fraction form
    498,896.84/748,345.26 = 183,217.16/x
  3. Step 3: Cross multiply
    498,896.84x = 748,345.26 × 183,217.16
  4. Step 4: Simplify right side
    498,896.84x = 137,109,693,236.66
  5. Step 5: Solve for x
    x = 137,109,693,236.66/498,896.84
  6. Step 6: Final answer
    x = 274,825.74

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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.