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Finding the Fourth Proportional to 657,467.80, 986,234.10 and 342,539.80

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Solution

The fourth proportional to 657,467.80, 986,234.10 and 342,539.80 is: 513,826.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,467.80 : 986,234.10 = 342,539.80 : x
  2. Step 2: Convert to fraction form
    657,467.80/986,234.10 = 342,539.80/x
  3. Step 3: Cross multiply
    657,467.80x = 986,234.10 × 342,539.80
  4. Step 4: Simplify right side
    657,467.80x = 337,824,431,367.18
  5. Step 5: Solve for x
    x = 337,824,431,367.18/657,467.80
  6. Step 6: Final answer
    x = 513,826.58

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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.