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Finding the Fourth Proportional to 401,735.99, 602,639.36 and 149,019.23

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Solution

The fourth proportional to 401,735.99, 602,639.36 and 149,019.23 is: 223,541.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,735.99 : 602,639.36 = 149,019.23 : x
  2. Step 2: Convert to fraction form
    401,735.99/602,639.36 = 149,019.23/x
  3. Step 3: Cross multiply
    401,735.99x = 602,639.36 × 149,019.23
  4. Step 4: Simplify right side
    401,735.99x = 89,804,853,394.89
  5. Step 5: Solve for x
    x = 89,804,853,394.89/401,735.99
  6. Step 6: Final answer
    x = 223,541.97

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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.