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Finding the Fourth Proportional to 313,913.26, 470,967.90 and 103,698.82

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Solution

The fourth proportional to 313,913.26, 470,967.90 and 103,698.82 is: 155,580.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,913.26 : 470,967.90 = 103,698.82 : x
  2. Step 2: Convert to fraction form
    313,913.26/470,967.90 = 103,698.82/x
  3. Step 3: Cross multiply
    313,913.26x = 470,967.90 × 103,698.82
  4. Step 4: Simplify right side
    313,913.26x = 48,838,815,487.88
  5. Step 5: Solve for x
    x = 48,838,815,487.88/313,913.26
  6. Step 6: Final answer
    x = 155,580.61

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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.