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Finding the Fourth Proportional to 288,085.41, 397,510.34 and 160,760.70

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Solution

The fourth proportional to 288,085.41, 397,510.34 and 160,760.70 is: 221,823.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,085.41 : 397,510.34 = 160,760.70 : x
  2. Step 2: Convert to fraction form
    288,085.41/397,510.34 = 160,760.70/x
  3. Step 3: Cross multiply
    288,085.41x = 397,510.34 × 160,760.70
  4. Step 4: Simplify right side
    288,085.41x = 63,904,039,711.83
  5. Step 5: Solve for x
    x = 63,904,039,711.83/288,085.41
  6. Step 6: Final answer
    x = 221,823.24

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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.