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Finding the Fourth Proportional to 543,412.48, 814,856.56 and 227,784.64

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Solution

The fourth proportional to 543,412.48, 814,856.56 and 227,784.64 is: 341,567.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,412.48 : 814,856.56 = 227,784.64 : x
  2. Step 2: Convert to fraction form
    543,412.48/814,856.56 = 227,784.64/x
  3. Step 3: Cross multiply
    543,412.48x = 814,856.56 × 227,784.64
  4. Step 4: Simplify right side
    543,412.48x = 185,611,808,171.24
  5. Step 5: Solve for x
    x = 185,611,808,171.24/543,412.48
  6. Step 6: Final answer
    x = 341,567.07

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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.