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Finding the Fourth Proportional to 334,659.56, 461,696.64 and 213,769.49

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Solution

The fourth proportional to 334,659.56, 461,696.64 and 213,769.49 is: 294,916.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,659.56 : 461,696.64 = 213,769.49 : x
  2. Step 2: Convert to fraction form
    334,659.56/461,696.64 = 213,769.49/x
  3. Step 3: Cross multiply
    334,659.56x = 461,696.64 × 213,769.49
  4. Step 4: Simplify right side
    334,659.56x = 98,696,655,267.51
  5. Step 5: Solve for x
    x = 98,696,655,267.51/334,659.56
  6. Step 6: Final answer
    x = 294,916.59

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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.