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Finding the Fourth Proportional to 313,589.76, 470,457.60 and 103,229.52

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Solution

The fourth proportional to 313,589.76, 470,457.60 and 103,229.52 is: 154,868.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,589.76 : 470,457.60 = 103,229.52 : x
  2. Step 2: Convert to fraction form
    313,589.76/470,457.60 = 103,229.52/x
  3. Step 3: Cross multiply
    313,589.76x = 470,457.60 × 103,229.52
  4. Step 4: Simplify right side
    313,589.76x = 48,565,112,228.35
  5. Step 5: Solve for x
    x = 48,565,112,228.35/313,589.76
  6. Step 6: Final answer
    x = 154,868.30

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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.