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Finding the Fourth Proportional to 524,058.17, 786,253.40 and 187,091.60

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Solution

The fourth proportional to 524,058.17, 786,253.40 and 187,091.60 is: 280,696.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,058.17 : 786,253.40 = 187,091.60 : x
  2. Step 2: Convert to fraction form
    524,058.17/786,253.40 = 187,091.60/x
  3. Step 3: Cross multiply
    524,058.17x = 786,253.40 × 187,091.60
  4. Step 4: Simplify right side
    524,058.17x = 147,101,401,744.72
  5. Step 5: Solve for x
    x = 147,101,401,744.72/524,058.17
  6. Step 6: Final answer
    x = 280,696.71

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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.