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Finding the Fourth Proportional to 300,434.32, 414,595.56 and 181,202.32

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Solution

The fourth proportional to 300,434.32, 414,595.56 and 181,202.32 is: 250,056.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,434.32 : 414,595.56 = 181,202.32 : x
  2. Step 2: Convert to fraction form
    300,434.32/414,595.56 = 181,202.32/x
  3. Step 3: Cross multiply
    300,434.32x = 414,595.56 × 181,202.32
  4. Step 4: Simplify right side
    300,434.32x = 75,125,677,333.70
  5. Step 5: Solve for x
    x = 75,125,677,333.70/300,434.32
  6. Step 6: Final answer
    x = 250,056.91

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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.