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Finding the Fourth Proportional to 343,706.54, 515,436.77 and 119,006.66

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Solution

The fourth proportional to 343,706.54, 515,436.77 and 119,006.66 is: 178,467.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,706.54 : 515,436.77 = 119,006.66 : x
  2. Step 2: Convert to fraction form
    343,706.54/515,436.77 = 119,006.66/x
  3. Step 3: Cross multiply
    343,706.54x = 515,436.77 × 119,006.66
  4. Step 4: Simplify right side
    343,706.54x = 61,340,410,025.00
  5. Step 5: Solve for x
    x = 61,340,410,025.00/343,706.54
  6. Step 6: Final answer
    x = 178,467.40

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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.