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Finding the Fourth Proportional to 497,071.50, 744,912.24 and 268,874.51

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Solution

The fourth proportional to 497,071.50, 744,912.24 and 268,874.51 is: 402,935.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,071.50 : 744,912.24 = 268,874.51 : x
  2. Step 2: Convert to fraction form
    497,071.50/744,912.24 = 268,874.51/x
  3. Step 3: Cross multiply
    497,071.50x = 744,912.24 × 268,874.51
  4. Step 4: Simplify right side
    497,071.50x = 200,287,909,798.44
  5. Step 5: Solve for x
    x = 200,287,909,798.44/497,071.50
  6. Step 6: Final answer
    x = 402,935.81

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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.