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Finding the Fourth Proportional to 410,865.09, 616,297.64 and 111,345.68

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Solution

The fourth proportional to 410,865.09, 616,297.64 and 111,345.68 is: 167,018.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,865.09 : 616,297.64 = 111,345.68 : x
  2. Step 2: Convert to fraction form
    410,865.09/616,297.64 = 111,345.68/x
  3. Step 3: Cross multiply
    410,865.09x = 616,297.64 × 111,345.68
  4. Step 4: Simplify right side
    410,865.09x = 68,622,076,169.98
  5. Step 5: Solve for x
    x = 68,622,076,169.98/410,865.09
  6. Step 6: Final answer
    x = 167,018.51

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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.