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Finding the Fourth Proportional to 794,224.12, 1,096,037.76 and 431,648

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Solution

The fourth proportional to 794,224.12, 1,096,037.76 and 431,648 is: 595,678.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,224.12 : 1,096,037.76 = 431,648 : x
  2. Step 2: Convert to fraction form
    794,224.12/1,096,037.76 = 431,648/x
  3. Step 3: Cross multiply
    794,224.12x = 1,096,037.76 × 431,648
  4. Step 4: Simplify right side
    794,224.12x = 473,102,507,028.48
  5. Step 5: Solve for x
    x = 473,102,507,028.48/794,224.12
  6. Step 6: Final answer
    x = 595,678.85

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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.