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Finding the Fourth Proportional to 492,968.50, 680,296.53 and 266,614

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Solution

The fourth proportional to 492,968.50, 680,296.53 and 266,614 is: 367,927.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,968.50 : 680,296.53 = 266,614 : x
  2. Step 2: Convert to fraction form
    492,968.50/680,296.53 = 266,614/x
  3. Step 3: Cross multiply
    492,968.50x = 680,296.53 × 266,614
  4. Step 4: Simplify right side
    492,968.50x = 181,376,579,049.42
  5. Step 5: Solve for x
    x = 181,376,579,049.42/492,968.50
  6. Step 6: Final answer
    x = 367,927.32

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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.