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Finding the Fourth Proportional to 380,092.94, 524,505.65 and 207,976.57

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Solution

The fourth proportional to 380,092.94, 524,505.65 and 207,976.57 is: 286,995.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,092.94 : 524,505.65 = 207,976.57 : x
  2. Step 2: Convert to fraction form
    380,092.94/524,505.65 = 207,976.57/x
  3. Step 3: Cross multiply
    380,092.94x = 524,505.65 × 207,976.57
  4. Step 4: Simplify right side
    380,092.94x = 109,084,883,681.47
  5. Step 5: Solve for x
    x = 109,084,883,681.47/380,092.94
  6. Step 6: Final answer
    x = 286,995.29

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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.