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Finding the Fourth Proportional to 354,874.10, 532,311.15 and 228,902.90

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Solution

The fourth proportional to 354,874.10, 532,311.15 and 228,902.90 is: 343,354.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,874.10 : 532,311.15 = 228,902.90 : x
  2. Step 2: Convert to fraction form
    354,874.10/532,311.15 = 228,902.90/x
  3. Step 3: Cross multiply
    354,874.10x = 532,311.15 × 228,902.90
  4. Step 4: Simplify right side
    354,874.10x = 121,847,565,937.34
  5. Step 5: Solve for x
    x = 121,847,565,937.34/354,874.10
  6. Step 6: Final answer
    x = 343,354.35

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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.