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Finding the Fourth Proportional to 413,228.35, 620,081.84 and 173,320.90

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Solution

The fourth proportional to 413,228.35, 620,081.84 and 173,320.90 is: 260,081.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,228.35 : 620,081.84 = 173,320.90 : x
  2. Step 2: Convert to fraction form
    413,228.35/620,081.84 = 173,320.90/x
  3. Step 3: Cross multiply
    413,228.35x = 620,081.84 × 173,320.90
  4. Step 4: Simplify right side
    413,228.35x = 107,473,142,582.46
  5. Step 5: Solve for x
    x = 107,473,142,582.46/413,228.35
  6. Step 6: Final answer
    x = 260,081.73

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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.