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Finding the Fourth Proportional to 427,440, 589,816.17 and 236,427.42

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Solution

The fourth proportional to 427,440, 589,816.17 and 236,427.42 is: 326,241.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,440 : 589,816.17 = 236,427.42 : x
  2. Step 2: Convert to fraction form
    427,440/589,816.17 = 236,427.42/x
  3. Step 3: Cross multiply
    427,440x = 589,816.17 × 236,427.42
  4. Step 4: Simplify right side
    427,440x = 139,448,715,347.38
  5. Step 5: Solve for x
    x = 139,448,715,347.38/427,440
  6. Step 6: Final answer
    x = 326,241.61

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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.