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Finding the Fourth Proportional to 313,965.74, 470,964.90 and 103,620.08

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Solution

The fourth proportional to 313,965.74, 470,964.90 and 103,620.08 is: 155,435.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,965.74 : 470,964.90 = 103,620.08 : x
  2. Step 2: Convert to fraction form
    313,965.74/470,964.90 = 103,620.08/x
  3. Step 3: Cross multiply
    313,965.74x = 470,964.90 × 103,620.08
  4. Step 4: Simplify right side
    313,965.74x = 48,801,420,615.19
  5. Step 5: Solve for x
    x = 48,801,420,615.19/313,965.74
  6. Step 6: Final answer
    x = 155,435.50

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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.