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Finding the Fourth Proportional to 492,948.43, 680,264.98 and 266,593.93

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Solution

The fourth proportional to 492,948.43, 680,264.98 and 266,593.93 is: 367,897.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,948.43 : 680,264.98 = 266,593.93 : x
  2. Step 2: Convert to fraction form
    492,948.43/680,264.98 = 266,593.93/x
  3. Step 3: Cross multiply
    492,948.43x = 680,264.98 × 266,593.93
  4. Step 4: Simplify right side
    492,948.43x = 181,354,517,418.51
  5. Step 5: Solve for x
    x = 181,354,517,418.51/492,948.43
  6. Step 6: Final answer
    x = 367,897.54

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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.