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Finding the Fourth Proportional to 380,833.17, 525,529.54 and 219,678.63

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Solution

The fourth proportional to 380,833.17, 525,529.54 and 219,678.63 is: 303,144.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,833.17 : 525,529.54 = 219,678.63 : x
  2. Step 2: Convert to fraction form
    380,833.17/525,529.54 = 219,678.63/x
  3. Step 3: Cross multiply
    380,833.17x = 525,529.54 × 219,678.63
  4. Step 4: Simplify right side
    380,833.17x = 115,447,609,371.73
  5. Step 5: Solve for x
    x = 115,447,609,371.73/380,833.17
  6. Step 6: Final answer
    x = 303,144.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.