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Finding the Fourth Proportional to 471,451.10, 648,959.37 and 410,916.62

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Solution

The fourth proportional to 471,451.10, 648,959.37 and 410,916.62 is: 565,632.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,451.10 : 648,959.37 = 410,916.62 : x
  2. Step 2: Convert to fraction form
    471,451.10/648,959.37 = 410,916.62/x
  3. Step 3: Cross multiply
    471,451.10x = 648,959.37 × 410,916.62
  4. Step 4: Simplify right side
    471,451.10x = 266,668,190,837.73
  5. Step 5: Solve for x
    x = 266,668,190,837.73/471,451.10
  6. Step 6: Final answer
    x = 565,632.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.