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Finding the Fourth Proportional to 369,329.49, 509,667.53 and 208,181.48

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Solution

The fourth proportional to 369,329.49, 509,667.53 and 208,181.48 is: 287,286.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,329.49 : 509,667.53 = 208,181.48 : x
  2. Step 2: Convert to fraction form
    369,329.49/509,667.53 = 208,181.48/x
  3. Step 3: Cross multiply
    369,329.49x = 509,667.53 × 208,181.48
  4. Step 4: Simplify right side
    369,329.49x = 106,103,337,114.10
  5. Step 5: Solve for x
    x = 106,103,337,114.10/369,329.49
  6. Step 6: Final answer
    x = 287,286.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.