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Finding the Fourth Proportional to 354,906.40, 532,359.60 and 228,935.20

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Solution

The fourth proportional to 354,906.40, 532,359.60 and 228,935.20 is: 343,402.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,906.40 : 532,359.60 = 228,935.20 : x
  2. Step 2: Convert to fraction form
    354,906.40/532,359.60 = 228,935.20/x
  3. Step 3: Cross multiply
    354,906.40x = 532,359.60 × 228,935.20
  4. Step 4: Simplify right side
    354,906.40x = 121,875,851,497.92
  5. Step 5: Solve for x
    x = 121,875,851,497.92/354,906.40
  6. Step 6: Final answer
    x = 343,402.80

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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.