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Finding the Fourth Proportional to 304,125, 419,675.56 and 168,150.78

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Solution

The fourth proportional to 304,125, 419,675.56 and 168,150.78 is: 232,038.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,125 : 419,675.56 = 168,150.78 : x
  2. Step 2: Convert to fraction form
    304,125/419,675.56 = 168,150.78/x
  3. Step 3: Cross multiply
    304,125x = 419,675.56 × 168,150.78
  4. Step 4: Simplify right side
    304,125x = 70,568,772,340.56
  5. Step 5: Solve for x
    x = 70,568,772,340.56/304,125
  6. Step 6: Final answer
    x = 232,038.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.