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Finding the Fourth Proportional to 657,262.80, 985,505.40 and 342,334.80

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Solution

The fourth proportional to 657,262.80, 985,505.40 and 342,334.80 is: 513,299.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,262.80 : 985,505.40 = 342,334.80 : x
  2. Step 2: Convert to fraction form
    657,262.80/985,505.40 = 342,334.80/x
  3. Step 3: Cross multiply
    657,262.80x = 985,505.40 × 342,334.80
  4. Step 4: Simplify right side
    657,262.80x = 337,372,794,007.92
  5. Step 5: Solve for x
    x = 337,372,794,007.92/657,262.80
  6. Step 6: Final answer
    x = 513,299.69

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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.