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Finding the Fourth Proportional to 288,012.32, 397,476.96 and 160,712.72

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Solution

The fourth proportional to 288,012.32, 397,476.96 and 160,712.72 is: 221,794.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,012.32 : 397,476.96 = 160,712.72 : x
  2. Step 2: Convert to fraction form
    288,012.32/397,476.96 = 160,712.72/x
  3. Step 3: Cross multiply
    288,012.32x = 397,476.96 × 160,712.72
  4. Step 4: Simplify right side
    288,012.32x = 63,879,603,378.93
  5. Step 5: Solve for x
    x = 63,879,603,378.93/288,012.32
  6. Step 6: Final answer
    x = 221,794.69

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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.