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Finding the Fourth Proportional to 313,593.58, 470,448.69 and 103,246.30

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Solution

The fourth proportional to 313,593.58, 470,448.69 and 103,246.30 is: 154,888.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,593.58 : 470,448.69 = 103,246.30 : x
  2. Step 2: Convert to fraction form
    313,593.58/470,448.69 = 103,246.30/x
  3. Step 3: Cross multiply
    313,593.58x = 470,448.69 × 103,246.30
  4. Step 4: Simplify right side
    313,593.58x = 48,572,086,582.35
  5. Step 5: Solve for x
    x = 48,572,086,582.35/313,593.58
  6. Step 6: Final answer
    x = 154,888.65

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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.