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Finding the Fourth Proportional to 648,000.24, 894,240.89 and 361,520.38

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Solution

The fourth proportional to 648,000.24, 894,240.89 and 361,520.38 is: 498,898.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,000.24 : 894,240.89 = 361,520.38 : x
  2. Step 2: Convert to fraction form
    648,000.24/894,240.89 = 361,520.38/x
  3. Step 3: Cross multiply
    648,000.24x = 894,240.89 × 361,520.38
  4. Step 4: Simplify right side
    648,000.24x = 323,286,306,364.34
  5. Step 5: Solve for x
    x = 323,286,306,364.34/648,000.24
  6. Step 6: Final answer
    x = 498,898.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.