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Finding the Fourth Proportional to 497,934.08, 747,024 and 165,512.96

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Solution

The fourth proportional to 497,934.08, 747,024 and 165,512.96 is: 248,310.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,934.08 : 747,024 = 165,512.96 : x
  2. Step 2: Convert to fraction form
    497,934.08/747,024 = 165,512.96/x
  3. Step 3: Cross multiply
    497,934.08x = 747,024 × 165,512.96
  4. Step 4: Simplify right side
    497,934.08x = 123,642,153,431.04
  5. Step 5: Solve for x
    x = 123,642,153,431.04/497,934.08
  6. Step 6: Final answer
    x = 248,310.29

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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.