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Finding the Fourth Proportional to 447,233.32, 670,966.62 and 166,753

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Solution

The fourth proportional to 447,233.32, 670,966.62 and 166,753 is: 250,172.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,233.32 : 670,966.62 = 166,753 : x
  2. Step 2: Convert to fraction form
    447,233.32/670,966.62 = 166,753/x
  3. Step 3: Cross multiply
    447,233.32x = 670,966.62 × 166,753
  4. Step 4: Simplify right side
    447,233.32x = 111,885,696,784.86
  5. Step 5: Solve for x
    x = 111,885,696,784.86/447,233.32
  6. Step 6: Final answer
    x = 250,172.99

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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.