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Finding the Fourth Proportional to 401,176.64, 601,804.92 and 148,524.68

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Solution

The fourth proportional to 401,176.64, 601,804.92 and 148,524.68 is: 222,801.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,176.64 : 601,804.92 = 148,524.68 : x
  2. Step 2: Convert to fraction form
    401,176.64/601,804.92 = 148,524.68/x
  3. Step 3: Cross multiply
    401,176.64x = 601,804.92 × 148,524.68
  4. Step 4: Simplify right side
    401,176.64x = 89,382,883,165.43
  5. Step 5: Solve for x
    x = 89,382,883,165.43/401,176.64
  6. Step 6: Final answer
    x = 222,801.81

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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.