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Finding the Fourth Proportional to 401,735.78, 602,760.54 and 176,938.26

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Solution

The fourth proportional to 401,735.78, 602,760.54 and 176,938.26 is: 265,476.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,735.78 : 602,760.54 = 176,938.26 : x
  2. Step 2: Convert to fraction form
    401,735.78/602,760.54 = 176,938.26/x
  3. Step 3: Cross multiply
    401,735.78x = 602,760.54 × 176,938.26
  4. Step 4: Simplify right side
    401,735.78x = 106,651,401,144.26
  5. Step 5: Solve for x
    x = 106,651,401,144.26/401,735.78
  6. Step 6: Final answer
    x = 265,476.48

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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.