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Finding the Fourth Proportional to 329,458, 494,162.16 and 104,809.36

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Solution

The fourth proportional to 329,458, 494,162.16 and 104,809.36 is: 157,206.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,458 : 494,162.16 = 104,809.36 : x
  2. Step 2: Convert to fraction form
    329,458/494,162.16 = 104,809.36/x
  3. Step 3: Cross multiply
    329,458x = 494,162.16 × 104,809.36
  4. Step 4: Simplify right side
    329,458x = 51,792,819,725.82
  5. Step 5: Solve for x
    x = 51,792,819,725.82/329,458
  6. Step 6: Final answer
    x = 157,206.14

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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.