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Finding the Fourth Proportional to 401,077.44, 601,609.76 and 97,474.06

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Solution

The fourth proportional to 401,077.44, 601,609.76 and 97,474.06 is: 146,209.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,077.44 : 601,609.76 = 97,474.06 : x
  2. Step 2: Convert to fraction form
    401,077.44/601,609.76 = 97,474.06/x
  3. Step 3: Cross multiply
    401,077.44x = 601,609.76 × 97,474.06
  4. Step 4: Simplify right side
    401,077.44x = 58,641,345,842.83
  5. Step 5: Solve for x
    x = 58,641,345,842.83/401,077.44
  6. Step 6: Final answer
    x = 146,209.53

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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.