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Finding the Fourth Proportional to 298,065.48, 411,209.06 and 168,976.59

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Solution

The fourth proportional to 298,065.48, 411,209.06 and 168,976.59 is: 233,118.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,065.48 : 411,209.06 = 168,976.59 : x
  2. Step 2: Convert to fraction form
    298,065.48/411,209.06 = 168,976.59/x
  3. Step 3: Cross multiply
    298,065.48x = 411,209.06 × 168,976.59
  4. Step 4: Simplify right side
    298,065.48x = 69,484,704,735.91
  5. Step 5: Solve for x
    x = 69,484,704,735.91/298,065.48
  6. Step 6: Final answer
    x = 233,118.93

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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.