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Finding the Fourth Proportional to 365,637.51, 548,640.78 and 165,830.46

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Solution

The fourth proportional to 365,637.51, 548,640.78 and 165,830.46 is: 248,829.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,637.51 : 548,640.78 = 165,830.46 : x
  2. Step 2: Convert to fraction form
    365,637.51/548,640.78 = 165,830.46/x
  3. Step 3: Cross multiply
    365,637.51x = 548,640.78 × 165,830.46
  4. Step 4: Simplify right side
    365,637.51x = 90,981,352,922.16
  5. Step 5: Solve for x
    x = 90,981,352,922.16/365,637.51
  6. Step 6: Final answer
    x = 248,829.37

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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.