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Finding the Fourth Proportional to 334,397.83, 461,240.45 and 213,484.62

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Solution

The fourth proportional to 334,397.83, 461,240.45 and 213,484.62 is: 294,462.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,397.83 : 461,240.45 = 213,484.62 : x
  2. Step 2: Convert to fraction form
    334,397.83/461,240.45 = 213,484.62/x
  3. Step 3: Cross multiply
    334,397.83x = 461,240.45 × 213,484.62
  4. Step 4: Simplify right side
    334,397.83x = 98,467,743,446.22
  5. Step 5: Solve for x
    x = 98,467,743,446.22/334,397.83
  6. Step 6: Final answer
    x = 294,462.86

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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.