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Finding the Fourth Proportional to 685,815.76, 946,433.36 and 379,896.82

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Solution

The fourth proportional to 685,815.76, 946,433.36 and 379,896.82 is: 524,261.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,815.76 : 946,433.36 = 379,896.82 : x
  2. Step 2: Convert to fraction form
    685,815.76/946,433.36 = 379,896.82/x
  3. Step 3: Cross multiply
    685,815.76x = 946,433.36 × 379,896.82
  4. Step 4: Simplify right side
    685,815.76x = 359,547,023,805.92
  5. Step 5: Solve for x
    x = 359,547,023,805.92/685,815.76
  6. Step 6: Final answer
    x = 524,261.83

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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.