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Finding the Fourth Proportional to 498,892.34, 748,338.51 and 183,212.66

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Solution

The fourth proportional to 498,892.34, 748,338.51 and 183,212.66 is: 274,818.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,892.34 : 748,338.51 = 183,212.66 : x
  2. Step 2: Convert to fraction form
    498,892.34/748,338.51 = 183,212.66/x
  3. Step 3: Cross multiply
    498,892.34x = 748,338.51 × 183,212.66
  4. Step 4: Simplify right side
    498,892.34x = 137,105,088,997.54
  5. Step 5: Solve for x
    x = 137,105,088,997.54/498,892.34
  6. Step 6: Final answer
    x = 274,818.99

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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.