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Finding the Fourth Proportional to 447,145.48, 670,723.62 and 177,339.88

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Solution

The fourth proportional to 447,145.48, 670,723.62 and 177,339.88 is: 266,011.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,145.48 : 670,723.62 = 177,339.88 : x
  2. Step 2: Convert to fraction form
    447,145.48/670,723.62 = 177,339.88/x
  3. Step 3: Cross multiply
    447,145.48x = 670,723.62 × 177,339.88
  4. Step 4: Simplify right side
    447,145.48x = 118,946,046,283.97
  5. Step 5: Solve for x
    x = 118,946,046,283.97/447,145.48
  6. Step 6: Final answer
    x = 266,011.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.