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Finding the Fourth Proportional to 289,711.16, 399,826 and 162,411.36

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Solution

The fourth proportional to 289,711.16, 399,826 and 162,411.36 is: 224,141.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,711.16 : 399,826 = 162,411.36 : x
  2. Step 2: Convert to fraction form
    289,711.16/399,826 = 162,411.36/x
  3. Step 3: Cross multiply
    289,711.16x = 399,826 × 162,411.36
  4. Step 4: Simplify right side
    289,711.16x = 64,936,284,423.36
  5. Step 5: Solve for x
    x = 64,936,284,423.36/289,711.16
  6. Step 6: Final answer
    x = 224,141.47

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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.