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Finding the Fourth Proportional to 442,646.98, 664,007.02 and 186,553.53

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Solution

The fourth proportional to 442,646.98, 664,007.02 and 186,553.53 is: 279,845.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,646.98 : 664,007.02 = 186,553.53 : x
  2. Step 2: Convert to fraction form
    442,646.98/664,007.02 = 186,553.53/x
  3. Step 3: Cross multiply
    442,646.98x = 664,007.02 × 186,553.53
  4. Step 4: Simplify right side
    442,646.98x = 123,872,853,059.40
  5. Step 5: Solve for x
    x = 123,872,853,059.40/442,646.98
  6. Step 6: Final answer
    x = 279,845.70

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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.