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Finding the Fourth Proportional to 542,827.80, 814,533.30 and 227,316.60

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Solution

The fourth proportional to 542,827.80, 814,533.30 and 227,316.60 is: 341,097.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,827.80 : 814,533.30 = 227,316.60 : x
  2. Step 2: Convert to fraction form
    542,827.80/814,533.30 = 227,316.60/x
  3. Step 3: Cross multiply
    542,827.80x = 814,533.30 × 227,316.60
  4. Step 4: Simplify right side
    542,827.80x = 185,156,940,342.78
  5. Step 5: Solve for x
    x = 185,156,940,342.78/542,827.80
  6. Step 6: Final answer
    x = 341,097.01

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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.