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Finding the Fourth Proportional to 326,442.84, 450,494.46 and 181,251

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Solution

The fourth proportional to 326,442.84, 450,494.46 and 181,251 is: 250,128.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,442.84 : 450,494.46 = 181,251 : x
  2. Step 2: Convert to fraction form
    326,442.84/450,494.46 = 181,251/x
  3. Step 3: Cross multiply
    326,442.84x = 450,494.46 × 181,251
  4. Step 4: Simplify right side
    326,442.84x = 81,652,571,369.46
  5. Step 5: Solve for x
    x = 81,652,571,369.46/326,442.84
  6. Step 6: Final answer
    x = 250,128.23

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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.