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Finding the Fourth Proportional to 513,003.73, 765,748.92 and 452,403.10

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Solution

The fourth proportional to 513,003.73, 765,748.92 and 452,403.10 is: 675,291.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,003.73 : 765,748.92 = 452,403.10 : x
  2. Step 2: Convert to fraction form
    513,003.73/765,748.92 = 452,403.10/x
  3. Step 3: Cross multiply
    513,003.73x = 765,748.92 × 452,403.10
  4. Step 4: Simplify right side
    513,003.73x = 346,427,181,912.53
  5. Step 5: Solve for x
    x = 346,427,181,912.53/513,003.73
  6. Step 6: Final answer
    x = 675,291.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.