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Finding the Fourth Proportional to 465,323.42, 698,125.26 and 165,764.90

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Solution

The fourth proportional to 465,323.42, 698,125.26 and 165,764.90 is: 248,697.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,323.42 : 698,125.26 = 165,764.90 : x
  2. Step 2: Convert to fraction form
    465,323.42/698,125.26 = 165,764.90/x
  3. Step 3: Cross multiply
    465,323.42x = 698,125.26 × 165,764.90
  4. Step 4: Simplify right side
    465,323.42x = 115,724,663,911.37
  5. Step 5: Solve for x
    x = 115,724,663,911.37/465,323.42
  6. Step 6: Final answer
    x = 248,697.27

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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.