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Finding the Fourth Proportional to 383,154.33, 528,769.38 and 213,388.46

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Solution

The fourth proportional to 383,154.33, 528,769.38 and 213,388.46 is: 294,485.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,154.33 : 528,769.38 = 213,388.46 : x
  2. Step 2: Convert to fraction form
    383,154.33/528,769.38 = 213,388.46/x
  3. Step 3: Cross multiply
    383,154.33x = 528,769.38 × 213,388.46
  4. Step 4: Simplify right side
    383,154.33x = 112,833,281,049.51
  5. Step 5: Solve for x
    x = 112,833,281,049.51/383,154.33
  6. Step 6: Final answer
    x = 294,485.20

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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.