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Finding the Fourth Proportional to 298,161.17, 411,455.00 and 170,828.57

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Solution

The fourth proportional to 298,161.17, 411,455.00 and 170,828.57 is: 235,739.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,161.17 : 411,455.00 = 170,828.57 : x
  2. Step 2: Convert to fraction form
    298,161.17/411,455.00 = 170,828.57/x
  3. Step 3: Cross multiply
    298,161.17x = 411,455.00 × 170,828.57
  4. Step 4: Simplify right side
    298,161.17x = 70,288,267,639.15
  5. Step 5: Solve for x
    x = 70,288,267,639.15/298,161.17
  6. Step 6: Final answer
    x = 235,739.17

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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.