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Finding the Fourth Proportional to 289,515.54, 399,531.48 and 160,462.34

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Solution

The fourth proportional to 289,515.54, 399,531.48 and 160,462.34 is: 221,438.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,515.54 : 399,531.48 = 160,462.34 : x
  2. Step 2: Convert to fraction form
    289,515.54/399,531.48 = 160,462.34/x
  3. Step 3: Cross multiply
    289,515.54x = 399,531.48 × 160,462.34
  4. Step 4: Simplify right side
    289,515.54x = 64,109,755,382.15
  5. Step 5: Solve for x
    x = 64,109,755,382.15/289,515.54
  6. Step 6: Final answer
    x = 221,438.05

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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.