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Finding the Fourth Proportional to 381,083.48, 525,938.56 and 219,981.76

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Solution

The fourth proportional to 381,083.48, 525,938.56 and 219,981.76 is: 303,599.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,083.48 : 525,938.56 = 219,981.76 : x
  2. Step 2: Convert to fraction form
    381,083.48/525,938.56 = 219,981.76/x
  3. Step 3: Cross multiply
    381,083.48x = 525,938.56 × 219,981.76
  4. Step 4: Simplify right side
    381,083.48x = 115,696,890,080.67
  5. Step 5: Solve for x
    x = 115,696,890,080.67/381,083.48
  6. Step 6: Final answer
    x = 303,599.86

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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.