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Finding the Fourth Proportional to 298,315.84, 411,694.23 and 171,010.57

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Solution

The fourth proportional to 298,315.84, 411,694.23 and 171,010.57 is: 236,005.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,315.84 : 411,694.23 = 171,010.57 : x
  2. Step 2: Convert to fraction form
    298,315.84/411,694.23 = 171,010.57/x
  3. Step 3: Cross multiply
    298,315.84x = 411,694.23 × 171,010.57
  4. Step 4: Simplify right side
    298,315.84x = 70,404,064,938.01
  5. Step 5: Solve for x
    x = 70,404,064,938.01/298,315.84
  6. Step 6: Final answer
    x = 236,005.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.