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Finding the Fourth Proportional to 410,005.44, 614,962.44 and 110,515.86

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Solution

The fourth proportional to 410,005.44, 614,962.44 and 110,515.86 is: 165,761.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,005.44 : 614,962.44 = 110,515.86 : x
  2. Step 2: Convert to fraction form
    410,005.44/614,962.44 = 110,515.86/x
  3. Step 3: Cross multiply
    410,005.44x = 614,962.44 × 110,515.86
  4. Step 4: Simplify right side
    410,005.44x = 67,963,102,924.30
  5. Step 5: Solve for x
    x = 67,963,102,924.30/410,005.44
  6. Step 6: Final answer
    x = 165,761.47

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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.