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Finding the Fourth Proportional to 334,630.86, 461,796.14 and 181,669.08

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Solution

The fourth proportional to 334,630.86, 461,796.14 and 181,669.08 is: 250,706.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,630.86 : 461,796.14 = 181,669.08 : x
  2. Step 2: Convert to fraction form
    334,630.86/461,796.14 = 181,669.08/x
  3. Step 3: Cross multiply
    334,630.86x = 461,796.14 × 181,669.08
  4. Step 4: Simplify right side
    334,630.86x = 83,894,079,901.35
  5. Step 5: Solve for x
    x = 83,894,079,901.35/334,630.86
  6. Step 6: Final answer
    x = 250,706.35

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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.