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Finding the Fourth Proportional to 315,077.24, 472,477.62 and 117,947

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Solution

The fourth proportional to 315,077.24, 472,477.62 and 117,947 is: 176,868.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,077.24 : 472,477.62 = 117,947 : x
  2. Step 2: Convert to fraction form
    315,077.24/472,477.62 = 117,947/x
  3. Step 3: Cross multiply
    315,077.24x = 472,477.62 × 117,947
  4. Step 4: Simplify right side
    315,077.24x = 55,727,317,846.14
  5. Step 5: Solve for x
    x = 55,727,317,846.14/315,077.24
  6. Step 6: Final answer
    x = 176,868.75

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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.