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Finding the Fourth Proportional to 430,097.20, 644,927.10 and 252,658.60

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Solution

The fourth proportional to 430,097.20, 644,927.10 and 252,658.60 is: 378,859.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,097.20 : 644,927.10 = 252,658.60 : x
  2. Step 2: Convert to fraction form
    430,097.20/644,927.10 = 252,658.60/x
  3. Step 3: Cross multiply
    430,097.20x = 644,927.10 × 252,658.60
  4. Step 4: Simplify right side
    430,097.20x = 162,946,378,188.06
  5. Step 5: Solve for x
    x = 162,946,378,188.06/430,097.20
  6. Step 6: Final answer
    x = 378,859.43

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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.