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Finding the Fourth Proportional to 465,411.66, 698,078.49 and 184,853.58

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Solution

The fourth proportional to 465,411.66, 698,078.49 and 184,853.58 is: 277,264.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,411.66 : 698,078.49 = 184,853.58 : x
  2. Step 2: Convert to fraction form
    465,411.66/698,078.49 = 184,853.58/x
  3. Step 3: Cross multiply
    465,411.66x = 698,078.49 × 184,853.58
  4. Step 4: Simplify right side
    465,411.66x = 129,042,307,997.49
  5. Step 5: Solve for x
    x = 129,042,307,997.49/465,411.66
  6. Step 6: Final answer
    x = 277,264.88

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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.