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Finding the Fourth Proportional to 339,347.21, 509,045.51 and 114,632.96

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Solution

The fourth proportional to 339,347.21, 509,045.51 and 114,632.96 is: 171,957.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,347.21 : 509,045.51 = 114,632.96 : x
  2. Step 2: Convert to fraction form
    339,347.21/509,045.51 = 114,632.96/x
  3. Step 3: Cross multiply
    339,347.21x = 509,045.51 × 114,632.96
  4. Step 4: Simplify right side
    339,347.21x = 58,353,391,327.36
  5. Step 5: Solve for x
    x = 58,353,391,327.36/339,347.21
  6. Step 6: Final answer
    x = 171,957.78

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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.