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Finding the Fourth Proportional to 492,097.94, 679,095.19 and 265,743.44

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Solution

The fourth proportional to 492,097.94, 679,095.19 and 265,743.44 is: 366,725.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,097.94 : 679,095.19 = 265,743.44 : x
  2. Step 2: Convert to fraction form
    492,097.94/679,095.19 = 265,743.44/x
  3. Step 3: Cross multiply
    492,097.94x = 679,095.19 × 265,743.44
  4. Step 4: Simplify right side
    492,097.94x = 180,465,091,878.05
  5. Step 5: Solve for x
    x = 180,465,091,878.05/492,097.94
  6. Step 6: Final answer
    x = 366,725.96

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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.