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Finding the Fourth Proportional to 380,124.54, 524,573.25 and 205,694.74

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Solution

The fourth proportional to 380,124.54, 524,573.25 and 205,694.74 is: 283,859.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,124.54 : 524,573.25 = 205,694.74 : x
  2. Step 2: Convert to fraction form
    380,124.54/524,573.25 = 205,694.74/x
  3. Step 3: Cross multiply
    380,124.54x = 524,573.25 × 205,694.74
  4. Step 4: Simplify right side
    380,124.54x = 107,901,959,130.31
  5. Step 5: Solve for x
    x = 107,901,959,130.31/380,124.54
  6. Step 6: Final answer
    x = 283,859.50

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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.