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Finding the Fourth Proportional to 354,172.50, 488,743.81 and 193,024.09

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Solution

The fourth proportional to 354,172.50, 488,743.81 and 193,024.09 is: 266,365.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,172.50 : 488,743.81 = 193,024.09 : x
  2. Step 2: Convert to fraction form
    354,172.50/488,743.81 = 193,024.09/x
  3. Step 3: Cross multiply
    354,172.50x = 488,743.81 × 193,024.09
  4. Step 4: Simplify right side
    354,172.50x = 94,339,329,168.38
  5. Step 5: Solve for x
    x = 94,339,329,168.38/354,172.50
  6. Step 6: Final answer
    x = 266,365.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.