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Finding the Fourth Proportional to 315,075.24, 472,474.62 and 117,945

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Solution

The fourth proportional to 315,075.24, 472,474.62 and 117,945 is: 176,865.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,075.24 : 472,474.62 = 117,945 : x
  2. Step 2: Convert to fraction form
    315,075.24/472,474.62 = 117,945/x
  3. Step 3: Cross multiply
    315,075.24x = 472,474.62 × 117,945
  4. Step 4: Simplify right side
    315,075.24x = 55,726,019,055.90
  5. Step 5: Solve for x
    x = 55,726,019,055.90/315,075.24
  6. Step 6: Final answer
    x = 176,865.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.