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Finding the Fourth Proportional to 354,814.40, 532,221.60 and 228,843.20

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Solution

The fourth proportional to 354,814.40, 532,221.60 and 228,843.20 is: 343,264.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,814.40 : 532,221.60 = 228,843.20 : x
  2. Step 2: Convert to fraction form
    354,814.40/532,221.60 = 228,843.20/x
  3. Step 3: Cross multiply
    354,814.40x = 532,221.60 × 228,843.20
  4. Step 4: Simplify right side
    354,814.40x = 121,795,294,053.12
  5. Step 5: Solve for x
    x = 121,795,294,053.12/354,814.40
  6. Step 6: Final answer
    x = 343,264.80

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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.