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Finding the Fourth Proportional to 401,066.60, 601,761.90 and 176,469.80

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Solution

The fourth proportional to 401,066.60, 601,761.90 and 176,469.80 is: 264,775.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,066.60 : 601,761.90 = 176,469.80 : x
  2. Step 2: Convert to fraction form
    401,066.60/601,761.90 = 176,469.80/x
  3. Step 3: Cross multiply
    401,066.60x = 601,761.90 × 176,469.80
  4. Step 4: Simplify right side
    401,066.60x = 106,192,802,140.62
  5. Step 5: Solve for x
    x = 106,192,802,140.62/401,066.60
  6. Step 6: Final answer
    x = 264,775.98

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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.