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Finding the Fourth Proportional to 309,650.81, 463,820.06 and 233,936.87

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Solution

The fourth proportional to 309,650.81, 463,820.06 and 233,936.87 is: 350,409.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,650.81 : 463,820.06 = 233,936.87 : x
  2. Step 2: Convert to fraction form
    309,650.81/463,820.06 = 233,936.87/x
  3. Step 3: Cross multiply
    309,650.81x = 463,820.06 × 233,936.87
  4. Step 4: Simplify right side
    309,650.81x = 108,504,609,590.83
  5. Step 5: Solve for x
    x = 108,504,609,590.83/309,650.81
  6. Step 6: Final answer
    x = 350,409.58

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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.