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Finding the Fourth Proportional to 354,202.10, 488,794.59 and 193,056.65

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Solution

The fourth proportional to 354,202.10, 488,794.59 and 193,056.65 is: 266,415.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,202.10 : 488,794.59 = 193,056.65 : x
  2. Step 2: Convert to fraction form
    354,202.10/488,794.59 = 193,056.65/x
  3. Step 3: Cross multiply
    354,202.10x = 488,794.59 × 193,056.65
  4. Step 4: Simplify right side
    354,202.10x = 94,365,046,083.52
  5. Step 5: Solve for x
    x = 94,365,046,083.52/354,202.10
  6. Step 6: Final answer
    x = 266,415.83

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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.