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Finding the Fourth Proportional to 313,386.75, 470,266.92 and 113,722.72

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Solution

The fourth proportional to 313,386.75, 470,266.92 and 113,722.72 is: 170,651.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,386.75 : 470,266.92 = 113,722.72 : x
  2. Step 2: Convert to fraction form
    313,386.75/470,266.92 = 113,722.72/x
  3. Step 3: Cross multiply
    313,386.75x = 470,266.92 × 113,722.72
  4. Step 4: Simplify right side
    313,386.75x = 53,480,032,092.76
  5. Step 5: Solve for x
    x = 53,480,032,092.76/313,386.75
  6. Step 6: Final answer
    x = 170,651.86

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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.