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Finding the Fourth Proportional to 946,409.72, 1,305,996.32 and 538,503.32

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Solution

The fourth proportional to 946,409.72, 1,305,996.32 and 538,503.32 is: 743,106.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,409.72 : 1,305,996.32 = 538,503.32 : x
  2. Step 2: Convert to fraction form
    946,409.72/1,305,996.32 = 538,503.32/x
  3. Step 3: Cross multiply
    946,409.72x = 1,305,996.32 × 538,503.32
  4. Step 4: Simplify right side
    946,409.72x = 703,283,354,227.78
  5. Step 5: Solve for x
    x = 703,283,354,227.78/946,409.72
  6. Step 6: Final answer
    x = 743,106.65

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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.