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Finding the Fourth Proportional to 401,806.43, 602,801.67 and 174,140.25

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Solution

The fourth proportional to 401,806.43, 602,801.67 and 174,140.25 is: 261,250.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,806.43 : 602,801.67 = 174,140.25 : x
  2. Step 2: Convert to fraction form
    401,806.43/602,801.67 = 174,140.25/x
  3. Step 3: Cross multiply
    401,806.43x = 602,801.67 × 174,140.25
  4. Step 4: Simplify right side
    401,806.43x = 104,972,033,514.22
  5. Step 5: Solve for x
    x = 104,972,033,514.22/401,806.43
  6. Step 6: Final answer
    x = 261,250.26

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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.