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Finding the Fourth Proportional to 497,164.68, 746,046.84 and 177,292.24

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Solution

The fourth proportional to 497,164.68, 746,046.84 and 177,292.24 is: 266,045.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,164.68 : 746,046.84 = 177,292.24 : x
  2. Step 2: Convert to fraction form
    497,164.68/746,046.84 = 177,292.24/x
  3. Step 3: Cross multiply
    497,164.68x = 746,046.84 × 177,292.24
  4. Step 4: Simplify right side
    497,164.68x = 132,268,315,408.52
  5. Step 5: Solve for x
    x = 132,268,315,408.52/497,164.68
  6. Step 6: Final answer
    x = 266,045.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.