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Finding the Fourth Proportional to 313,505.08, 470,255.11 and 186,302.93

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Solution

The fourth proportional to 313,505.08, 470,255.11 and 186,302.93 is: 279,452.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,505.08 : 470,255.11 = 186,302.93 : x
  2. Step 2: Convert to fraction form
    313,505.08/470,255.11 = 186,302.93/x
  3. Step 3: Cross multiply
    313,505.08x = 470,255.11 × 186,302.93
  4. Step 4: Simplify right side
    313,505.08x = 87,609,902,023.44
  5. Step 5: Solve for x
    x = 87,609,902,023.44/313,505.08
  6. Step 6: Final answer
    x = 279,452.90

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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.