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Finding the Fourth Proportional to 499,764.50, 749,646.16 and 162,804.61

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Solution

The fourth proportional to 499,764.50, 749,646.16 and 162,804.61 is: 244,206.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,764.50 : 749,646.16 = 162,804.61 : x
  2. Step 2: Convert to fraction form
    499,764.50/749,646.16 = 162,804.61/x
  3. Step 3: Cross multiply
    499,764.50x = 749,646.16 × 162,804.61
  4. Step 4: Simplify right side
    499,764.50x = 122,045,846,154.54
  5. Step 5: Solve for x
    x = 122,045,846,154.54/499,764.50
  6. Step 6: Final answer
    x = 244,206.71

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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.