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Finding the Fourth Proportional to 524,907.68, 724,375.44 and 295,469.36

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Solution

The fourth proportional to 524,907.68, 724,375.44 and 295,469.36 is: 407,749.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,907.68 : 724,375.44 = 295,469.36 : x
  2. Step 2: Convert to fraction form
    524,907.68/724,375.44 = 295,469.36/x
  3. Step 3: Cross multiply
    524,907.68x = 724,375.44 × 295,469.36
  4. Step 4: Simplify right side
    524,907.68x = 214,030,747,656.52
  5. Step 5: Solve for x
    x = 214,030,747,656.52/524,907.68
  6. Step 6: Final answer
    x = 407,749.32

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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.