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Finding the Fourth Proportional to 390,916.88, 586,375.31 and 110,441.42

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Solution

The fourth proportional to 390,916.88, 586,375.31 and 110,441.42 is: 165,662.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,916.88 : 586,375.31 = 110,441.42 : x
  2. Step 2: Convert to fraction form
    390,916.88/586,375.31 = 110,441.42/x
  3. Step 3: Cross multiply
    390,916.88x = 586,375.31 × 110,441.42
  4. Step 4: Simplify right side
    390,916.88x = 64,760,119,233.57
  5. Step 5: Solve for x
    x = 64,760,119,233.57/390,916.88
  6. Step 6: Final answer
    x = 165,662.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.