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Finding the Fourth Proportional to 402,282.92, 602,505.84 and 192,068.48

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Solution

The fourth proportional to 402,282.92, 602,505.84 and 192,068.48 is: 287,664.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,282.92 : 602,505.84 = 192,068.48 : x
  2. Step 2: Convert to fraction form
    402,282.92/602,505.84 = 192,068.48/x
  3. Step 3: Cross multiply
    402,282.92x = 602,505.84 × 192,068.48
  4. Step 4: Simplify right side
    402,282.92x = 115,722,380,879.92
  5. Step 5: Solve for x
    x = 115,722,380,879.92/402,282.92
  6. Step 6: Final answer
    x = 287,664.17

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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.