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Finding the Fourth Proportional to 468,402.76, 702,997.80 and 202,366.36

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Solution

The fourth proportional to 468,402.76, 702,997.80 and 202,366.36 is: 303,719.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,402.76 : 702,997.80 = 202,366.36 : x
  2. Step 2: Convert to fraction form
    468,402.76/702,997.80 = 202,366.36/x
  3. Step 3: Cross multiply
    468,402.76x = 702,997.80 × 202,366.36
  4. Step 4: Simplify right side
    468,402.76x = 142,263,105,874.01
  5. Step 5: Solve for x
    x = 142,263,105,874.01/468,402.76
  6. Step 6: Final answer
    x = 303,719.61

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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.