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Finding the Fourth Proportional to 462,202.88, 693,273.60 and 181,767.68

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Solution

The fourth proportional to 462,202.88, 693,273.60 and 181,767.68 is: 272,639.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,202.88 : 693,273.60 = 181,767.68 : x
  2. Step 2: Convert to fraction form
    462,202.88/693,273.60 = 181,767.68/x
  3. Step 3: Cross multiply
    462,202.88x = 693,273.60 × 181,767.68
  4. Step 4: Simplify right side
    462,202.88x = 126,014,733,877.25
  5. Step 5: Solve for x
    x = 126,014,733,877.25/462,202.88
  6. Step 6: Final answer
    x = 272,639.44

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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.