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Finding the Fourth Proportional to 309,009.82, 463,686.96 and 166,852.09

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Solution

The fourth proportional to 309,009.82, 463,686.96 and 166,852.09 is: 250,371.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,009.82 : 463,686.96 = 166,852.09 : x
  2. Step 2: Convert to fraction form
    309,009.82/463,686.96 = 166,852.09/x
  3. Step 3: Cross multiply
    309,009.82x = 463,686.96 × 166,852.09
  4. Step 4: Simplify right side
    309,009.82x = 77,367,138,381.75
  5. Step 5: Solve for x
    x = 77,367,138,381.75/309,009.82
  6. Step 6: Final answer
    x = 250,371.13

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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.