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Finding the Fourth Proportional to 339,029.96, 508,347.18 and 102,301.64

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Solution

The fourth proportional to 339,029.96, 508,347.18 and 102,301.64 is: 153,392.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,029.96 : 508,347.18 = 102,301.64 : x
  2. Step 2: Convert to fraction form
    339,029.96/508,347.18 = 102,301.64/x
  3. Step 3: Cross multiply
    339,029.96x = 508,347.18 × 102,301.64
  4. Step 4: Simplify right side
    339,029.96x = 52,004,750,203.38
  5. Step 5: Solve for x
    x = 52,004,750,203.38/339,029.96
  6. Step 6: Final answer
    x = 153,392.79

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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.