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Finding the Fourth Proportional to 492,256.50, 679,314.33 and 265,902

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Solution

The fourth proportional to 492,256.50, 679,314.33 and 265,902 is: 366,944.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,256.50 : 679,314.33 = 265,902 : x
  2. Step 2: Convert to fraction form
    492,256.50/679,314.33 = 265,902/x
  3. Step 3: Cross multiply
    492,256.50x = 679,314.33 × 265,902
  4. Step 4: Simplify right side
    492,256.50x = 180,631,038,975.66
  5. Step 5: Solve for x
    x = 180,631,038,975.66/492,256.50
  6. Step 6: Final answer
    x = 366,944.95

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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.