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Finding the Fourth Proportional to 334,656.80, 461,823.81 and 181,691.96

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Solution

The fourth proportional to 334,656.80, 461,823.81 and 181,691.96 is: 250,733.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,656.80 : 461,823.81 = 181,691.96 : x
  2. Step 2: Convert to fraction form
    334,656.80/461,823.81 = 181,691.96/x
  3. Step 3: Cross multiply
    334,656.80x = 461,823.81 × 181,691.96
  4. Step 4: Simplify right side
    334,656.80x = 83,909,670,904.45
  5. Step 5: Solve for x
    x = 83,909,670,904.45/334,656.80
  6. Step 6: Final answer
    x = 250,733.50

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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.