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Finding the Fourth Proportional to 685,944.13, 946,603.65 and 384,138.13

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Solution

The fourth proportional to 685,944.13, 946,603.65 and 384,138.13 is: 530,111.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,944.13 : 946,603.65 = 384,138.13 : x
  2. Step 2: Convert to fraction form
    685,944.13/946,603.65 = 384,138.13/x
  3. Step 3: Cross multiply
    685,944.13x = 946,603.65 × 384,138.13
  4. Step 4: Simplify right side
    685,944.13x = 363,626,555,962.18
  5. Step 5: Solve for x
    x = 363,626,555,962.18/685,944.13
  6. Step 6: Final answer
    x = 530,111.04

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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.