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Finding the Fourth Proportional to 466,643.31, 700,338.68 and 214,042.79

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Solution

The fourth proportional to 466,643.31, 700,338.68 and 214,042.79 is: 321,235.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,643.31 : 700,338.68 = 214,042.79 : x
  2. Step 2: Convert to fraction form
    466,643.31/700,338.68 = 214,042.79/x
  3. Step 3: Cross multiply
    466,643.31x = 700,338.68 × 214,042.79
  4. Step 4: Simplify right side
    466,643.31x = 149,902,440,440.21
  5. Step 5: Solve for x
    x = 149,902,440,440.21/466,643.31
  6. Step 6: Final answer
    x = 321,235.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.