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Finding the Fourth Proportional to 354,569.16, 531,952.17 and 196,908.33

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Solution

The fourth proportional to 354,569.16, 531,952.17 and 196,908.33 is: 295,417.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,569.16 : 531,952.17 = 196,908.33 : x
  2. Step 2: Convert to fraction form
    354,569.16/531,952.17 = 196,908.33/x
  3. Step 3: Cross multiply
    354,569.16x = 531,952.17 × 196,908.33
  4. Step 4: Simplify right side
    354,569.16x = 104,745,813,434.58
  5. Step 5: Solve for x
    x = 104,745,813,434.58/354,569.16
  6. Step 6: Final answer
    x = 295,417.16

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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.