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Finding the Fourth Proportional to 496,501.10, 744,751.65 and 164,077.10

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Solution

The fourth proportional to 496,501.10, 744,751.65 and 164,077.10 is: 246,115.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,501.10 : 744,751.65 = 164,077.10 : x
  2. Step 2: Convert to fraction form
    496,501.10/744,751.65 = 164,077.10/x
  3. Step 3: Cross multiply
    496,501.10x = 744,751.65 × 164,077.10
  4. Step 4: Simplify right side
    496,501.10x = 122,196,690,952.22
  5. Step 5: Solve for x
    x = 122,196,690,952.22/496,501.10
  6. Step 6: Final answer
    x = 246,115.65

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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.