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Finding the Fourth Proportional to 401,065.60, 601,576.26 and 134,798.64

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Solution

The fourth proportional to 401,065.60, 601,576.26 and 134,798.64 is: 202,190.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,065.60 : 601,576.26 = 134,798.64 : x
  2. Step 2: Convert to fraction form
    401,065.60/601,576.26 = 134,798.64/x
  3. Step 3: Cross multiply
    401,065.60x = 601,576.26 × 134,798.64
  4. Step 4: Simplify right side
    401,065.60x = 81,091,661,704.29
  5. Step 5: Solve for x
    x = 81,091,661,704.29/401,065.60
  6. Step 6: Final answer
    x = 202,190.52

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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.