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Finding the Fourth Proportional to 300,811.44, 415,097.80 and 164,823.80

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Solution

The fourth proportional to 300,811.44, 415,097.80 and 164,823.80 is: 227,444.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,811.44 : 415,097.80 = 164,823.80 : x
  2. Step 2: Convert to fraction form
    300,811.44/415,097.80 = 164,823.80/x
  3. Step 3: Cross multiply
    300,811.44x = 415,097.80 × 164,823.80
  4. Step 4: Simplify right side
    300,811.44x = 68,417,996,767.64
  5. Step 5: Solve for x
    x = 68,417,996,767.64/300,811.44
  6. Step 6: Final answer
    x = 227,444.80

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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.