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Finding the Fourth Proportional to 401,537.46, 602,205.15 and 164,945.46

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Solution

The fourth proportional to 401,537.46, 602,205.15 and 164,945.46 is: 247,376.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,537.46 : 602,205.15 = 164,945.46 : x
  2. Step 2: Convert to fraction form
    401,537.46/602,205.15 = 164,945.46/x
  3. Step 3: Cross multiply
    401,537.46x = 602,205.15 × 164,945.46
  4. Step 4: Simplify right side
    401,537.46x = 99,331,005,481.12
  5. Step 5: Solve for x
    x = 99,331,005,481.12/401,537.46
  6. Step 6: Final answer
    x = 247,376.68

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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.