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Finding the Fourth Proportional to 354,197.84, 488,793.40 and 193,053.02

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Solution

The fourth proportional to 354,197.84, 488,793.40 and 193,053.02 is: 266,413.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,197.84 : 488,793.40 = 193,053.02 : x
  2. Step 2: Convert to fraction form
    354,197.84/488,793.40 = 193,053.02/x
  3. Step 3: Cross multiply
    354,197.84x = 488,793.40 × 193,053.02
  4. Step 4: Simplify right side
    354,197.84x = 94,363,042,026.07
  5. Step 5: Solve for x
    x = 94,363,042,026.07/354,197.84
  6. Step 6: Final answer
    x = 266,413.38

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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.