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Finding the Fourth Proportional to 354,433.91, 489,114.38 and 193,285.22

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Solution

The fourth proportional to 354,433.91, 489,114.38 and 193,285.22 is: 266,731.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,433.91 : 489,114.38 = 193,285.22 : x
  2. Step 2: Convert to fraction form
    354,433.91/489,114.38 = 193,285.22/x
  3. Step 3: Cross multiply
    354,433.91x = 489,114.38 × 193,285.22
  4. Step 4: Simplify right side
    354,433.91x = 94,538,578,581.10
  5. Step 5: Solve for x
    x = 94,538,578,581.10/354,433.91
  6. Step 6: Final answer
    x = 266,731.19

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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.