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Finding the Fourth Proportional to 354,543.99, 489,273.84 and 193,399.77

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Solution

The fourth proportional to 354,543.99, 489,273.84 and 193,399.77 is: 266,893.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,543.99 : 489,273.84 = 193,399.77 : x
  2. Step 2: Convert to fraction form
    354,543.99/489,273.84 = 193,399.77/x
  3. Step 3: Cross multiply
    354,543.99x = 489,273.84 × 193,399.77
  4. Step 4: Simplify right side
    354,543.99x = 94,625,448,123.02
  5. Step 5: Solve for x
    x = 94,625,448,123.02/354,543.99
  6. Step 6: Final answer
    x = 266,893.39

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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.