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Finding the Fourth Proportional to 401,710.34, 602,722.36 and 176,912.80

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Solution

The fourth proportional to 401,710.34, 602,722.36 and 176,912.80 is: 265,438.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,710.34 : 602,722.36 = 176,912.80 : x
  2. Step 2: Convert to fraction form
    401,710.34/602,722.36 = 176,912.80/x
  3. Step 3: Cross multiply
    401,710.34x = 602,722.36 × 176,912.80
  4. Step 4: Simplify right side
    401,710.34x = 106,629,299,044.54
  5. Step 5: Solve for x
    x = 106,629,299,044.54/401,710.34
  6. Step 6: Final answer
    x = 265,438.27

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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.