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Finding the Fourth Proportional to 289,411.03, 399,354.78 and 160,317.20

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Solution

The fourth proportional to 289,411.03, 399,354.78 and 160,317.20 is: 221,219.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,411.03 : 399,354.78 = 160,317.20 : x
  2. Step 2: Convert to fraction form
    289,411.03/399,354.78 = 160,317.20/x
  3. Step 3: Cross multiply
    289,411.03x = 399,354.78 × 160,317.20
  4. Step 4: Simplify right side
    289,411.03x = 64,023,440,136.22
  5. Step 5: Solve for x
    x = 64,023,440,136.22/289,411.03
  6. Step 6: Final answer
    x = 221,219.77

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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.