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Finding the Fourth Proportional to 685,944.05, 946,602.86 and 384,138.05

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Solution

The fourth proportional to 685,944.05, 946,602.86 and 384,138.05 is: 530,110.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,944.05 : 946,602.86 = 384,138.05 : x
  2. Step 2: Convert to fraction form
    685,944.05/946,602.86 = 384,138.05/x
  3. Step 3: Cross multiply
    685,944.05x = 946,602.86 × 384,138.05
  4. Step 4: Simplify right side
    685,944.05x = 363,626,170,111.12
  5. Step 5: Solve for x
    x = 363,626,170,111.12/685,944.05
  6. Step 6: Final answer
    x = 530,110.54

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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.