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Finding the Fourth Proportional to 430,094.20, 644,922.60 and 252,655.60

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Solution

The fourth proportional to 430,094.20, 644,922.60 and 252,655.60 is: 378,854.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,094.20 : 644,922.60 = 252,655.60 : x
  2. Step 2: Convert to fraction form
    430,094.20/644,922.60 = 252,655.60/x
  3. Step 3: Cross multiply
    430,094.20x = 644,922.60 × 252,655.60
  4. Step 4: Simplify right side
    430,094.20x = 162,943,306,456.56
  5. Step 5: Solve for x
    x = 162,943,306,456.56/430,094.20
  6. Step 6: Final answer
    x = 378,854.93

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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.