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Finding the Fourth Proportional to 334,618.74, 461,774.22 and 181,656.84

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Solution

The fourth proportional to 334,618.74, 461,774.22 and 181,656.84 is: 250,686.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,618.74 : 461,774.22 = 181,656.84 : x
  2. Step 2: Convert to fraction form
    334,618.74/461,774.22 = 181,656.84/x
  3. Step 3: Cross multiply
    334,618.74x = 461,774.22 × 181,656.84
  4. Step 4: Simplify right side
    334,618.74x = 83,884,445,598.66
  5. Step 5: Solve for x
    x = 83,884,445,598.66/334,618.74
  6. Step 6: Final answer
    x = 250,686.63

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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.