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Finding the Fourth Proportional to 502,671.82, 753,847.74 and 165,649.60

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Solution

The fourth proportional to 502,671.82, 753,847.74 and 165,649.60 is: 248,421.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,671.82 : 753,847.74 = 165,649.60 : x
  2. Step 2: Convert to fraction form
    502,671.82/753,847.74 = 165,649.60/x
  3. Step 3: Cross multiply
    502,671.82x = 753,847.74 × 165,649.60
  4. Step 4: Simplify right side
    502,671.82x = 124,874,576,591.90
  5. Step 5: Solve for x
    x = 124,874,576,591.90/502,671.82
  6. Step 6: Final answer
    x = 248,421.68

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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.