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Finding the Fourth Proportional to 524,004.38, 786,172.64 and 187,037.57

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Solution

The fourth proportional to 524,004.38, 786,172.64 and 187,037.57 is: 280,615.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,004.38 : 786,172.64 = 187,037.57 : x
  2. Step 2: Convert to fraction form
    524,004.38/786,172.64 = 187,037.57/x
  3. Step 3: Cross multiply
    524,004.38x = 786,172.64 × 187,037.57
  4. Step 4: Simplify right side
    524,004.38x = 147,043,820,186.09
  5. Step 5: Solve for x
    x = 147,043,820,186.09/524,004.38
  6. Step 6: Final answer
    x = 280,615.63

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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.