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Finding the Fourth Proportional to 334,693.81, 461,743.50 and 213,803.74

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Solution

The fourth proportional to 334,693.81, 461,743.50 and 213,803.74 is: 294,963.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,693.81 : 461,743.50 = 213,803.74 : x
  2. Step 2: Convert to fraction form
    334,693.81/461,743.50 = 213,803.74/x
  3. Step 3: Cross multiply
    334,693.81x = 461,743.50 × 213,803.74
  4. Step 4: Simplify right side
    334,693.81x = 98,722,487,220.69
  5. Step 5: Solve for x
    x = 98,722,487,220.69/334,693.81
  6. Step 6: Final answer
    x = 294,963.59

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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.