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Finding the Fourth Proportional to 570,142.44, 855,508.76 and 413,662.48

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Solution

The fourth proportional to 570,142.44, 855,508.76 and 413,662.48 is: 620,707.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,142.44 : 855,508.76 = 413,662.48 : x
  2. Step 2: Convert to fraction form
    570,142.44/855,508.76 = 413,662.48/x
  3. Step 3: Cross multiply
    570,142.44x = 855,508.76 × 413,662.48
  4. Step 4: Simplify right side
    570,142.44x = 353,891,875,323.33
  5. Step 5: Solve for x
    x = 353,891,875,323.33/570,142.44
  6. Step 6: Final answer
    x = 620,707.83

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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.