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Finding the Fourth Proportional to 436,383.81, 654,569.14 and 196,328.19

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Solution

The fourth proportional to 436,383.81, 654,569.14 and 196,328.19 is: 294,489.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,383.81 : 654,569.14 = 196,328.19 : x
  2. Step 2: Convert to fraction form
    436,383.81/654,569.14 = 196,328.19/x
  3. Step 3: Cross multiply
    436,383.81x = 654,569.14 × 196,328.19
  4. Step 4: Simplify right side
    436,383.81x = 128,510,374,486.06
  5. Step 5: Solve for x
    x = 128,510,374,486.06/436,383.81
  6. Step 6: Final answer
    x = 294,489.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.