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Finding the Fourth Proportional to 313,973.46, 470,976.52 and 103,627.80

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Solution

The fourth proportional to 313,973.46, 470,976.52 and 103,627.80 is: 155,447.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,973.46 : 470,976.52 = 103,627.80 : x
  2. Step 2: Convert to fraction form
    313,973.46/470,976.52 = 103,627.80/x
  3. Step 3: Cross multiply
    313,973.46x = 470,976.52 × 103,627.80
  4. Step 4: Simplify right side
    313,973.46x = 48,806,260,619.26
  5. Step 5: Solve for x
    x = 48,806,260,619.26/313,973.46
  6. Step 6: Final answer
    x = 155,447.09

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1.5x scale

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.