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Finding the Fourth Proportional to 314,672.85, 434,249.07 and 178,706.76

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Solution

The fourth proportional to 314,672.85, 434,249.07 and 178,706.76 is: 246,615.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,672.85 : 434,249.07 = 178,706.76 : x
  2. Step 2: Convert to fraction form
    314,672.85/434,249.07 = 178,706.76/x
  3. Step 3: Cross multiply
    314,672.85x = 434,249.07 × 178,706.76
  4. Step 4: Simplify right side
    314,672.85x = 77,603,242,034.13
  5. Step 5: Solve for x
    x = 77,603,242,034.13/314,672.85
  6. Step 6: Final answer
    x = 246,615.63

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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.