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Finding the Fourth Proportional to 524,588.94, 723,980.43 and 298,233.90

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Solution

The fourth proportional to 524,588.94, 723,980.43 and 298,233.90 is: 411,589.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,588.94 : 723,980.43 = 298,233.90 : x
  2. Step 2: Convert to fraction form
    524,588.94/723,980.43 = 298,233.90/x
  3. Step 3: Cross multiply
    524,588.94x = 723,980.43 × 298,233.90
  4. Step 4: Simplify right side
    524,588.94x = 215,915,507,162.58
  5. Step 5: Solve for x
    x = 215,915,507,162.58/524,588.94
  6. Step 6: Final answer
    x = 411,589.90

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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.