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Finding the Fourth Proportional to 492,234.64, 679,284.06 and 265,880.14

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Solution

The fourth proportional to 492,234.64, 679,284.06 and 265,880.14 is: 366,914.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,234.64 : 679,284.06 = 265,880.14 : x
  2. Step 2: Convert to fraction form
    492,234.64/679,284.06 = 265,880.14/x
  3. Step 3: Cross multiply
    492,234.64x = 679,284.06 × 265,880.14
  4. Step 4: Simplify right side
    492,234.64x = 180,608,140,972.57
  5. Step 5: Solve for x
    x = 180,608,140,972.57/492,234.64
  6. Step 6: Final answer
    x = 366,914.73

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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.