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Finding the Fourth Proportional to 340,209.57, 510,429.06 and 150,644.07

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Solution

The fourth proportional to 340,209.57, 510,429.06 and 150,644.07 is: 226,016.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,209.57 : 510,429.06 = 150,644.07 : x
  2. Step 2: Convert to fraction form
    340,209.57/510,429.06 = 150,644.07/x
  3. Step 3: Cross multiply
    340,209.57x = 510,429.06 × 150,644.07
  4. Step 4: Simplify right side
    340,209.57x = 76,893,111,044.67
  5. Step 5: Solve for x
    x = 76,893,111,044.67/340,209.57
  6. Step 6: Final answer
    x = 226,016.90

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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.