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Finding the Fourth Proportional to 492,805.32, 680,071.68 and 266,450.82

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Solution

The fourth proportional to 492,805.32, 680,071.68 and 266,450.82 is: 367,702.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,805.32 : 680,071.68 = 266,450.82 : x
  2. Step 2: Convert to fraction form
    492,805.32/680,071.68 = 266,450.82/x
  3. Step 3: Cross multiply
    492,805.32x = 680,071.68 × 266,450.82
  4. Step 4: Simplify right side
    492,805.32x = 181,205,656,794.78
  5. Step 5: Solve for x
    x = 181,205,656,794.78/492,805.32
  6. Step 6: Final answer
    x = 367,702.31

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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.