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Finding the Fourth Proportional to 401,594.90, 602,394.44 and 135,357.72

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Solution

The fourth proportional to 401,594.90, 602,394.44 and 135,357.72 is: 203,037.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,594.90 : 602,394.44 = 135,357.72 : x
  2. Step 2: Convert to fraction form
    401,594.90/602,394.44 = 135,357.72/x
  3. Step 3: Cross multiply
    401,594.90x = 602,394.44 × 135,357.72
  4. Step 4: Simplify right side
    401,594.90x = 81,538,737,262.29
  5. Step 5: Solve for x
    x = 81,538,737,262.29/401,594.90
  6. Step 6: Final answer
    x = 203,037.29

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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.