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Finding the Fourth Proportional to 326,371.84, 450,400 and 183,142.24

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Solution

The fourth proportional to 326,371.84, 450,400 and 183,142.24 is: 252,740.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,371.84 : 450,400 = 183,142.24 : x
  2. Step 2: Convert to fraction form
    326,371.84/450,400 = 183,142.24/x
  3. Step 3: Cross multiply
    326,371.84x = 450,400 × 183,142.24
  4. Step 4: Simplify right side
    326,371.84x = 82,487,264,896
  5. Step 5: Solve for x
    x = 82,487,264,896/326,371.84
  6. Step 6: Final answer
    x = 252,740.14

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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.