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Finding the Fourth Proportional to 497,834.40, 746,751.60 and 165,410.40

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Solution

The fourth proportional to 497,834.40, 746,751.60 and 165,410.40 is: 248,115.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,834.40 : 746,751.60 = 165,410.40 : x
  2. Step 2: Convert to fraction form
    497,834.40/746,751.60 = 165,410.40/x
  3. Step 3: Cross multiply
    497,834.40x = 746,751.60 × 165,410.40
  4. Step 4: Simplify right side
    497,834.40x = 123,520,480,856.64
  5. Step 5: Solve for x
    x = 123,520,480,856.64/497,834.40
  6. Step 6: Final answer
    x = 248,115.60

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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.