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Finding the Fourth Proportional to 497,363.10, 746,044.65 and 164,939.10

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Solution

The fourth proportional to 497,363.10, 746,044.65 and 164,939.10 is: 247,408.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,363.10 : 746,044.65 = 164,939.10 : x
  2. Step 2: Convert to fraction form
    497,363.10/746,044.65 = 164,939.10/x
  3. Step 3: Cross multiply
    497,363.10x = 746,044.65 × 164,939.10
  4. Step 4: Simplify right side
    497,363.10x = 123,051,933,130.82
  5. Step 5: Solve for x
    x = 123,051,933,130.82/497,363.10
  6. Step 6: Final answer
    x = 247,408.65

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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.