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Finding the Fourth Proportional to 321,673.84, 443,901.33 and 185,703.19

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Solution

The fourth proportional to 321,673.84, 443,901.33 and 185,703.19 is: 256,265.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,673.84 : 443,901.33 = 185,703.19 : x
  2. Step 2: Convert to fraction form
    321,673.84/443,901.33 = 185,703.19/x
  3. Step 3: Cross multiply
    321,673.84x = 443,901.33 × 185,703.19
  4. Step 4: Simplify right side
    321,673.84x = 82,433,891,916.49
  5. Step 5: Solve for x
    x = 82,433,891,916.49/321,673.84
  6. Step 6: Final answer
    x = 256,265.45

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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.