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Finding the Fourth Proportional to 653,935.80, 980,936.10 and 339,007.80

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Solution

The fourth proportional to 653,935.80, 980,936.10 and 339,007.80 is: 508,528.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,935.80 : 980,936.10 = 339,007.80 : x
  2. Step 2: Convert to fraction form
    653,935.80/980,936.10 = 339,007.80/x
  3. Step 3: Cross multiply
    653,935.80x = 980,936.10 × 339,007.80
  4. Step 4: Simplify right side
    653,935.80x = 332,544,989,201.58
  5. Step 5: Solve for x
    x = 332,544,989,201.58/653,935.80
  6. Step 6: Final answer
    x = 508,528.50

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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.