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Finding the Fourth Proportional to 354,663.38, 489,368.49 and 211,436.75

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Solution

The fourth proportional to 354,663.38, 489,368.49 and 211,436.75 is: 291,742.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,663.38 : 489,368.49 = 211,436.75 : x
  2. Step 2: Convert to fraction form
    354,663.38/489,368.49 = 211,436.75/x
  3. Step 3: Cross multiply
    354,663.38x = 489,368.49 × 211,436.75
  4. Step 4: Simplify right side
    354,663.38x = 103,470,483,078.01
  5. Step 5: Solve for x
    x = 103,470,483,078.01/354,663.38
  6. Step 6: Final answer
    x = 291,742.79

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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.