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Finding the Fourth Proportional to 471,349.74, 707,026.08 and 116,363.80

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Solution

The fourth proportional to 471,349.74, 707,026.08 and 116,363.80 is: 174,546.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,349.74 : 707,026.08 = 116,363.80 : x
  2. Step 2: Convert to fraction form
    471,349.74/707,026.08 = 116,363.80/x
  3. Step 3: Cross multiply
    471,349.74x = 707,026.08 × 116,363.80
  4. Step 4: Simplify right side
    471,349.74x = 82,272,241,367.90
  5. Step 5: Solve for x
    x = 82,272,241,367.90/471,349.74
  6. Step 6: Final answer
    x = 174,546.06

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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.