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Finding the Fourth Proportional to 380,193.04, 524,645.56 and 216,825.56

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Solution

The fourth proportional to 380,193.04, 524,645.56 and 216,825.56 is: 299,207.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,193.04 : 524,645.56 = 216,825.56 : x
  2. Step 2: Convert to fraction form
    380,193.04/524,645.56 = 216,825.56/x
  3. Step 3: Cross multiply
    380,193.04x = 524,645.56 × 216,825.56
  4. Step 4: Simplify right side
    380,193.04x = 113,756,565,744.10
  5. Step 5: Solve for x
    x = 113,756,565,744.10/380,193.04
  6. Step 6: Final answer
    x = 299,207.39

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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.