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Finding the Fourth Proportional to 341,042.40, 511,984.80 and 214,682.40

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Solution

The fourth proportional to 341,042.40, 511,984.80 and 214,682.40 is: 322,288.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,042.40 : 511,984.80 = 214,682.40 : x
  2. Step 2: Convert to fraction form
    341,042.40/511,984.80 = 214,682.40/x
  3. Step 3: Cross multiply
    341,042.40x = 511,984.80 × 214,682.40
  4. Step 4: Simplify right side
    341,042.40x = 109,914,125,627.52
  5. Step 5: Solve for x
    x = 109,914,125,627.52/341,042.40
  6. Step 6: Final answer
    x = 322,288.74

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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.