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Finding the Fourth Proportional to 289,916.34, 400,083.48 and 162,592.44

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Solution

The fourth proportional to 289,916.34, 400,083.48 and 162,592.44 is: 224,376.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,916.34 : 400,083.48 = 162,592.44 : x
  2. Step 2: Convert to fraction form
    289,916.34/400,083.48 = 162,592.44/x
  3. Step 3: Cross multiply
    289,916.34x = 400,083.48 × 162,592.44
  4. Step 4: Simplify right side
    289,916.34x = 65,050,549,216.89
  5. Step 5: Solve for x
    x = 65,050,549,216.89/289,916.34
  6. Step 6: Final answer
    x = 224,376.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.