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Finding the Fourth Proportional to 298,107.51, 411,266.97 and 169,018.80

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Solution

The fourth proportional to 298,107.51, 411,266.97 and 169,018.80 is: 233,177.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,107.51 : 411,266.97 = 169,018.80 : x
  2. Step 2: Convert to fraction form
    298,107.51/411,266.97 = 169,018.80/x
  3. Step 3: Cross multiply
    298,107.51x = 411,266.97 × 169,018.80
  4. Step 4: Simplify right side
    298,107.51x = 69,511,849,749.04
  5. Step 5: Solve for x
    x = 69,511,849,749.04/298,107.51
  6. Step 6: Final answer
    x = 233,177.12

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1.5x scale

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.