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Finding the Fourth Proportional to 337,464.54, 465,793.47 and 210,064.50

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Solution

The fourth proportional to 337,464.54, 465,793.47 and 210,064.50 is: 289,946.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,464.54 : 465,793.47 = 210,064.50 : x
  2. Step 2: Convert to fraction form
    337,464.54/465,793.47 = 210,064.50/x
  3. Step 3: Cross multiply
    337,464.54x = 465,793.47 × 210,064.50
  4. Step 4: Simplify right side
    337,464.54x = 97,846,672,378.82
  5. Step 5: Solve for x
    x = 97,846,672,378.82/337,464.54
  6. Step 6: Final answer
    x = 289,946.53

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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.