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Finding the Fourth Proportional to 342,537.36, 513,141.12 and 252,416.49

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Solution

The fourth proportional to 342,537.36, 513,141.12 and 252,416.49 is: 378,134.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,537.36 : 513,141.12 = 252,416.49 : x
  2. Step 2: Convert to fraction form
    342,537.36/513,141.12 = 252,416.49/x
  3. Step 3: Cross multiply
    342,537.36x = 513,141.12 × 252,416.49
  4. Step 4: Simplify right side
    342,537.36x = 129,525,280,385.07
  5. Step 5: Solve for x
    x = 129,525,280,385.07/342,537.36
  6. Step 6: Final answer
    x = 378,134.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.