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Finding the Fourth Proportional to 313,906.80, 470,860.20 and 77,246.40

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Solution

The fourth proportional to 313,906.80, 470,860.20 and 77,246.40 is: 115,869.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,906.80 : 470,860.20 = 77,246.40 : x
  2. Step 2: Convert to fraction form
    313,906.80/470,860.20 = 77,246.40/x
  3. Step 3: Cross multiply
    313,906.80x = 470,860.20 × 77,246.40
  4. Step 4: Simplify right side
    313,906.80x = 36,372,255,353.28
  5. Step 5: Solve for x
    x = 36,372,255,353.28/313,906.80
  6. Step 6: Final answer
    x = 115,869.60

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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.