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Finding the Fourth Proportional to 300,567.23, 414,711.61 and 177,997.71

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Solution

The fourth proportional to 300,567.23, 414,711.61 and 177,997.71 is: 245,594.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,567.23 : 414,711.61 = 177,997.71 : x
  2. Step 2: Convert to fraction form
    300,567.23/414,711.61 = 177,997.71/x
  3. Step 3: Cross multiply
    300,567.23x = 414,711.61 × 177,997.71
  4. Step 4: Simplify right side
    300,567.23x = 73,817,716,890.41
  5. Step 5: Solve for x
    x = 73,817,716,890.41/300,567.23
  6. Step 6: Final answer
    x = 245,594.69

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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.