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Finding the Fourth Proportional to 309,221.46, 463,814.42 and 183,659.26

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Solution

The fourth proportional to 309,221.46, 463,814.42 and 183,659.26 is: 275,478.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,221.46 : 463,814.42 = 183,659.26 : x
  2. Step 2: Convert to fraction form
    309,221.46/463,814.42 = 183,659.26/x
  3. Step 3: Cross multiply
    309,221.46x = 463,814.42 × 183,659.26
  4. Step 4: Simplify right side
    309,221.46x = 85,183,815,058.72
  5. Step 5: Solve for x
    x = 85,183,815,058.72/309,221.46
  6. Step 6: Final answer
    x = 275,478.34

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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.