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Finding the Fourth Proportional to 451,649.94, 676,884.32 and 185,098.38

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Solution

The fourth proportional to 451,649.94, 676,884.32 and 185,098.38 is: 277,405.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,649.94 : 676,884.32 = 185,098.38 : x
  2. Step 2: Convert to fraction form
    451,649.94/676,884.32 = 185,098.38/x
  3. Step 3: Cross multiply
    451,649.94x = 676,884.32 × 185,098.38
  4. Step 4: Simplify right side
    451,649.94x = 125,290,191,079.40
  5. Step 5: Solve for x
    x = 125,290,191,079.40/451,649.94
  6. Step 6: Final answer
    x = 277,405.53

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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.