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Finding the Fourth Proportional to 354,172.12, 488,743.29 and 193,023.72

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Solution

The fourth proportional to 354,172.12, 488,743.29 and 193,023.72 is: 266,364.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,172.12 : 488,743.29 = 193,023.72 : x
  2. Step 2: Convert to fraction form
    354,172.12/488,743.29 = 193,023.72/x
  3. Step 3: Cross multiply
    354,172.12x = 488,743.29 × 193,023.72
  4. Step 4: Simplify right side
    354,172.12x = 94,339,047,960.84
  5. Step 5: Solve for x
    x = 94,339,047,960.84/354,172.12
  6. Step 6: Final answer
    x = 266,364.98

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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.