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Finding the Fourth Proportional to 339,537.88, 509,131.62 and 152,389.24

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Solution

The fourth proportional to 339,537.88, 509,131.62 and 152,389.24 is: 228,505.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,537.88 : 509,131.62 = 152,389.24 : x
  2. Step 2: Convert to fraction form
    339,537.88/509,131.62 = 152,389.24/x
  3. Step 3: Cross multiply
    339,537.88x = 509,131.62 × 152,389.24
  4. Step 4: Simplify right side
    339,537.88x = 77,586,180,631.77
  5. Step 5: Solve for x
    x = 77,586,180,631.77/339,537.88
  6. Step 6: Final answer
    x = 228,505.23

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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.