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Finding the Fourth Proportional to 465,893.66, 698,705.43 and 181,520.81

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Solution

The fourth proportional to 465,893.66, 698,705.43 and 181,520.81 is: 272,228.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,893.66 : 698,705.43 = 181,520.81 : x
  2. Step 2: Convert to fraction form
    465,893.66/698,705.43 = 181,520.81/x
  3. Step 3: Cross multiply
    465,893.66x = 698,705.43 × 181,520.81
  4. Step 4: Simplify right side
    465,893.66x = 126,829,577,981.13
  5. Step 5: Solve for x
    x = 126,829,577,981.13/465,893.66
  6. Step 6: Final answer
    x = 272,228.60

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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.