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Finding the Fourth Proportional to 314,649.89, 434,219.82 and 178,686.66

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Solution

The fourth proportional to 314,649.89, 434,219.82 and 178,686.66 is: 246,589.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,649.89 : 434,219.82 = 178,686.66 : x
  2. Step 2: Convert to fraction form
    314,649.89/434,219.82 = 178,686.66/x
  3. Step 3: Cross multiply
    314,649.89x = 434,219.82 × 178,686.66
  4. Step 4: Simplify right side
    314,649.89x = 77,589,289,341.60
  5. Step 5: Solve for x
    x = 77,589,289,341.60/314,649.89
  6. Step 6: Final answer
    x = 246,589.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.