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Finding the Fourth Proportional to 334,741.49, 461,714.00 and 213,829.09

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Solution

The fourth proportional to 334,741.49, 461,714.00 and 213,829.09 is: 294,937.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,741.49 : 461,714.00 = 213,829.09 : x
  2. Step 2: Convert to fraction form
    334,741.49/461,714.00 = 213,829.09/x
  3. Step 3: Cross multiply
    334,741.49x = 461,714.00 × 213,829.09
  4. Step 4: Simplify right side
    334,741.49x = 98,727,881,082.54
  5. Step 5: Solve for x
    x = 98,727,881,082.54/334,741.49
  6. Step 6: Final answer
    x = 294,937.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.