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Finding the Fourth Proportional to 313,734.08, 470,659.44 and 103,380.32

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Solution

The fourth proportional to 313,734.08, 470,659.44 and 103,380.32 is: 155,089.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,734.08 : 470,659.44 = 103,380.32 : x
  2. Step 2: Convert to fraction form
    313,734.08/470,659.44 = 103,380.32/x
  3. Step 3: Cross multiply
    313,734.08x = 470,659.44 × 103,380.32
  4. Step 4: Simplify right side
    313,734.08x = 48,656,923,518.22
  5. Step 5: Solve for x
    x = 48,656,923,518.22/313,734.08
  6. Step 6: Final answer
    x = 155,089.70

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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.