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Finding the Fourth Proportional to 864,000.20, 1,295,385.90 and 331,315.40

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Solution

The fourth proportional to 864,000.20, 1,295,385.90 and 331,315.40 is: 496,737.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,000.20 : 1,295,385.90 = 331,315.40 : x
  2. Step 2: Convert to fraction form
    864,000.20/1,295,385.90 = 331,315.40/x
  3. Step 3: Cross multiply
    864,000.20x = 1,295,385.90 × 331,315.40
  4. Step 4: Simplify right side
    864,000.20x = 429,181,297,612.86
  5. Step 5: Solve for x
    x = 429,181,297,612.86/864,000.20
  6. Step 6: Final answer
    x = 496,737.50

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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.