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Finding the Fourth Proportional to 869,979.96, 1,305,478 and 364,497.76

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Solution

The fourth proportional to 869,979.96, 1,305,478 and 364,497.76 is: 546,959.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,979.96 : 1,305,478 = 364,497.76 : x
  2. Step 2: Convert to fraction form
    869,979.96/1,305,478 = 364,497.76/x
  3. Step 3: Cross multiply
    869,979.96x = 1,305,478 × 364,497.76
  4. Step 4: Simplify right side
    869,979.96x = 475,843,806,729.28
  5. Step 5: Solve for x
    x = 475,843,806,729.28/869,979.96
  6. Step 6: Final answer
    x = 546,959.50

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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.