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Finding the Fourth Proportional to 492,097.78, 679,094.94 and 265,743.28

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Solution

The fourth proportional to 492,097.78, 679,094.94 and 265,743.28 is: 366,725.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,097.78 : 679,094.94 = 265,743.28 : x
  2. Step 2: Convert to fraction form
    492,097.78/679,094.94 = 265,743.28/x
  3. Step 3: Cross multiply
    492,097.78x = 679,094.94 × 265,743.28
  4. Step 4: Simplify right side
    492,097.78x = 180,464,917,137.60
  5. Step 5: Solve for x
    x = 180,464,917,137.60/492,097.78
  6. Step 6: Final answer
    x = 366,725.73

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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.