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Finding the Fourth Proportional to 354,513.50, 489,230.16 and 193,372.02

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Solution

The fourth proportional to 354,513.50, 489,230.16 and 193,372.02 is: 266,854.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,513.50 : 489,230.16 = 193,372.02 : x
  2. Step 2: Convert to fraction form
    354,513.50/489,230.16 = 193,372.02/x
  3. Step 3: Cross multiply
    354,513.50x = 489,230.16 × 193,372.02
  4. Step 4: Simplify right side
    354,513.50x = 94,603,424,284.12
  5. Step 5: Solve for x
    x = 94,603,424,284.12/354,513.50
  6. Step 6: Final answer
    x = 266,854.22

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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.