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Finding the Fourth Proportional to 401,290.97, 601,998.73 and 135,030.73

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Solution

The fourth proportional to 401,290.97, 601,998.73 and 135,030.73 is: 202,567.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,290.97 : 601,998.73 = 135,030.73 : x
  2. Step 2: Convert to fraction form
    401,290.97/601,998.73 = 135,030.73/x
  3. Step 3: Cross multiply
    401,290.97x = 601,998.73 × 135,030.73
  4. Step 4: Simplify right side
    401,290.97x = 81,288,327,970.97
  5. Step 5: Solve for x
    x = 81,288,327,970.97/401,290.97
  6. Step 6: Final answer
    x = 202,567.05

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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.