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Finding the Fourth Proportional to 514,402.92, 771,824.82 and 265,259.88

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Solution

The fourth proportional to 514,402.92, 771,824.82 and 265,259.88 is: 398,003.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,402.92 : 771,824.82 = 265,259.88 : x
  2. Step 2: Convert to fraction form
    514,402.92/771,824.82 = 265,259.88/x
  3. Step 3: Cross multiply
    514,402.92x = 771,824.82 × 265,259.88
  4. Step 4: Simplify right side
    514,402.92x = 204,734,159,134.22
  5. Step 5: Solve for x
    x = 204,734,159,134.22/514,402.92
  6. Step 6: Final answer
    x = 398,003.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.