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Finding the Fourth Proportional to 288,002.16, 397,443.23 and 160,677.79

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Solution

The fourth proportional to 288,002.16, 397,443.23 and 160,677.79 is: 221,735.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,002.16 : 397,443.23 = 160,677.79 : x
  2. Step 2: Convert to fraction form
    288,002.16/397,443.23 = 160,677.79/x
  3. Step 3: Cross multiply
    288,002.16x = 397,443.23 × 160,677.79
  4. Step 4: Simplify right side
    288,002.16x = 63,860,299,846.86
  5. Step 5: Solve for x
    x = 63,860,299,846.86/288,002.16
  6. Step 6: Final answer
    x = 221,735.49

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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.