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Finding the Fourth Proportional to 465,379.83, 697,897.29 and 165,780.81

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Solution

The fourth proportional to 465,379.83, 697,897.29 and 165,780.81 is: 248,609.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,379.83 : 697,897.29 = 165,780.81 : x
  2. Step 2: Convert to fraction form
    465,379.83/697,897.29 = 165,780.81/x
  3. Step 3: Cross multiply
    465,379.83x = 697,897.29 × 165,780.81
  4. Step 4: Simplify right side
    465,379.83x = 115,697,978,033.01
  5. Step 5: Solve for x
    x = 115,697,978,033.01/465,379.83
  6. Step 6: Final answer
    x = 248,609.78

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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.