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Finding the Fourth Proportional to 543,156.40, 814,831.80 and 227,645.20

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Solution

The fourth proportional to 543,156.40, 814,831.80 and 227,645.20 is: 341,508.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,156.40 : 814,831.80 = 227,645.20 : x
  2. Step 2: Convert to fraction form
    543,156.40/814,831.80 = 227,645.20/x
  3. Step 3: Cross multiply
    543,156.40x = 814,831.80 × 227,645.20
  4. Step 4: Simplify right side
    543,156.40x = 185,492,548,077.36
  5. Step 5: Solve for x
    x = 185,492,548,077.36/543,156.40
  6. Step 6: Final answer
    x = 341,508.54

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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.