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Finding the Fourth Proportional to 465,313.62, 697,942.77 and 165,778.32

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Solution

The fourth proportional to 465,313.62, 697,942.77 and 165,778.32 is: 248,657.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,313.62 : 697,942.77 = 165,778.32 : x
  2. Step 2: Convert to fraction form
    465,313.62/697,942.77 = 165,778.32/x
  3. Step 3: Cross multiply
    465,313.62x = 697,942.77 × 165,778.32
  4. Step 4: Simplify right side
    465,313.62x = 115,703,779,866.75
  5. Step 5: Solve for x
    x = 115,703,779,866.75/465,313.62
  6. Step 6: Final answer
    x = 248,657.63

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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.