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Finding the Fourth Proportional to 289,497.91, 399,495.43 and 160,438.26

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Solution

The fourth proportional to 289,497.91, 399,495.43 and 160,438.26 is: 221,398.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,497.91 : 399,495.43 = 160,438.26 : x
  2. Step 2: Convert to fraction form
    289,497.91/399,495.43 = 160,438.26/x
  3. Step 3: Cross multiply
    289,497.91x = 399,495.43 × 160,438.26
  4. Step 4: Simplify right side
    289,497.91x = 64,094,351,667.15
  5. Step 5: Solve for x
    x = 64,094,351,667.15/289,497.91
  6. Step 6: Final answer
    x = 221,398.32

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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.