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Finding the Fourth Proportional to 524,189.72, 785,132.07 and 433,201.21

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Solution

The fourth proportional to 524,189.72, 785,132.07 and 433,201.21 is: 648,849.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,189.72 : 785,132.07 = 433,201.21 : x
  2. Step 2: Convert to fraction form
    524,189.72/785,132.07 = 433,201.21/x
  3. Step 3: Cross multiply
    524,189.72x = 785,132.07 × 433,201.21
  4. Step 4: Simplify right side
    524,189.72x = 340,120,161,100.91
  5. Step 5: Solve for x
    x = 340,120,161,100.91/524,189.72
  6. Step 6: Final answer
    x = 648,849.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.