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Finding the Fourth Proportional to 401,525.50, 602,357.96 and 135,288.32

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Solution

The fourth proportional to 401,525.50, 602,357.96 and 135,288.32 is: 202,955.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,525.50 : 602,357.96 = 135,288.32 : x
  2. Step 2: Convert to fraction form
    401,525.50/602,357.96 = 135,288.32/x
  3. Step 3: Cross multiply
    401,525.50x = 602,357.96 × 135,288.32
  4. Step 4: Simplify right side
    401,525.50x = 81,491,996,447.03
  5. Step 5: Solve for x
    x = 81,491,996,447.03/401,525.50
  6. Step 6: Final answer
    x = 202,955.97

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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.