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Finding the Fourth Proportional to 334,559.45, 461,693.12 and 181,597.76

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Solution

The fourth proportional to 334,559.45, 461,693.12 and 181,597.76 is: 250,605.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,559.45 : 461,693.12 = 181,597.76 : x
  2. Step 2: Convert to fraction form
    334,559.45/461,693.12 = 181,597.76/x
  3. Step 3: Cross multiply
    334,559.45x = 461,693.12 × 181,597.76
  4. Step 4: Simplify right side
    334,559.45x = 83,842,436,645.66
  5. Step 5: Solve for x
    x = 83,842,436,645.66/334,559.45
  6. Step 6: Final answer
    x = 250,605.49

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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.