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Finding the Fourth Proportional to 300,424.32, 414,581.76 and 181,192.32

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Solution

The fourth proportional to 300,424.32, 414,581.76 and 181,192.32 is: 250,043.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,424.32 : 414,581.76 = 181,192.32 : x
  2. Step 2: Convert to fraction form
    300,424.32/414,581.76 = 181,192.32/x
  3. Step 3: Cross multiply
    300,424.32x = 414,581.76 × 181,192.32
  4. Step 4: Simplify right side
    300,424.32x = 75,119,030,924.08
  5. Step 5: Solve for x
    x = 75,119,030,924.08/300,424.32
  6. Step 6: Final answer
    x = 250,043.11

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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.