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Finding the Fourth Proportional to 313,444.75, 470,166.10 and 113,764.87

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Solution

The fourth proportional to 313,444.75, 470,166.10 and 113,764.87 is: 170,646.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,444.75 : 470,166.10 = 113,764.87 : x
  2. Step 2: Convert to fraction form
    313,444.75/470,166.10 = 113,764.87/x
  3. Step 3: Cross multiply
    313,444.75x = 470,166.10 × 113,764.87
  4. Step 4: Simplify right side
    313,444.75x = 53,488,385,244.91
  5. Step 5: Solve for x
    x = 53,488,385,244.91/313,444.75
  6. Step 6: Final answer
    x = 170,646.93

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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.