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Finding the Fourth Proportional to 314,549.82, 434,091.04 and 178,596.43

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Solution

The fourth proportional to 314,549.82, 434,091.04 and 178,596.43 is: 246,470.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,549.82 : 434,091.04 = 178,596.43 : x
  2. Step 2: Convert to fraction form
    314,549.82/434,091.04 = 178,596.43/x
  3. Step 3: Cross multiply
    314,549.82x = 434,091.04 × 178,596.43
  4. Step 4: Simplify right side
    314,549.82x = 77,527,108,507.27
  5. Step 5: Solve for x
    x = 77,527,108,507.27/314,549.82
  6. Step 6: Final answer
    x = 246,470.05

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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.