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Finding the Fourth Proportional to 524,342.42, 723,653.97 and 298,021.94

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Solution

The fourth proportional to 524,342.42, 723,653.97 and 298,021.94 is: 411,305.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,342.42 : 723,653.97 = 298,021.94 : x
  2. Step 2: Convert to fraction form
    524,342.42/723,653.97 = 298,021.94/x
  3. Step 3: Cross multiply
    524,342.42x = 723,653.97 × 298,021.94
  4. Step 4: Simplify right side
    524,342.42x = 215,664,760,028.10
  5. Step 5: Solve for x
    x = 215,664,760,028.10/524,342.42
  6. Step 6: Final answer
    x = 411,305.19

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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.