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Finding the Fourth Proportional to 334,793.46, 461,963.07 and 214,041.90

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Solution

The fourth proportional to 334,793.46, 461,963.07 and 214,041.90 is: 295,344.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,793.46 : 461,963.07 = 214,041.90 : x
  2. Step 2: Convert to fraction form
    334,793.46/461,963.07 = 214,041.90/x
  3. Step 3: Cross multiply
    334,793.46x = 461,963.07 × 214,041.90
  4. Step 4: Simplify right side
    334,793.46x = 98,879,453,232.63
  5. Step 5: Solve for x
    x = 98,879,453,232.63/334,793.46
  6. Step 6: Final answer
    x = 295,344.64

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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.