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Finding the Fourth Proportional to 354,200.10, 488,791.83 and 193,054.65

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Solution

The fourth proportional to 354,200.10, 488,791.83 and 193,054.65 is: 266,413.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,200.10 : 488,791.83 = 193,054.65 : x
  2. Step 2: Convert to fraction form
    354,200.10/488,791.83 = 193,054.65/x
  3. Step 3: Cross multiply
    354,200.10x = 488,791.83 × 193,054.65
  4. Step 4: Simplify right side
    354,200.10x = 94,363,535,663.51
  5. Step 5: Solve for x
    x = 94,363,535,663.51/354,200.10
  6. Step 6: Final answer
    x = 266,413.07

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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.