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Finding the Fourth Proportional to 401,497.60, 602,246.40 and 135,169.60

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Solution

The fourth proportional to 401,497.60, 602,246.40 and 135,169.60 is: 202,754.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,497.60 : 602,246.40 = 135,169.60 : x
  2. Step 2: Convert to fraction form
    401,497.60/602,246.40 = 135,169.60/x
  3. Step 3: Cross multiply
    401,497.60x = 602,246.40 × 135,169.60
  4. Step 4: Simplify right side
    401,497.60x = 81,405,404,989.44
  5. Step 5: Solve for x
    x = 81,405,404,989.44/401,497.60
  6. Step 6: Final answer
    x = 202,754.40

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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.