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Finding the Fourth Proportional to 313,462.60, 470,193.90 and 155,998.60

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Solution

The fourth proportional to 313,462.60, 470,193.90 and 155,998.60 is: 233,997.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,462.60 : 470,193.90 = 155,998.60 : x
  2. Step 2: Convert to fraction form
    313,462.60/470,193.90 = 155,998.60/x
  3. Step 3: Cross multiply
    313,462.60x = 470,193.90 × 155,998.60
  4. Step 4: Simplify right side
    313,462.60x = 73,349,590,128.54
  5. Step 5: Solve for x
    x = 73,349,590,128.54/313,462.60
  6. Step 6: Final answer
    x = 233,997.90

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Similar ratio
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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.