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Finding the Fourth Proportional to 407,782.27, 562,512.70 and 378,916.30

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Solution

The fourth proportional to 407,782.27, 562,512.70 and 378,916.30 is: 522,693.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,782.27 : 562,512.70 = 378,916.30 : x
  2. Step 2: Convert to fraction form
    407,782.27/562,512.70 = 378,916.30/x
  3. Step 3: Cross multiply
    407,782.27x = 562,512.70 × 378,916.30
  4. Step 4: Simplify right side
    407,782.27x = 213,145,230,987.01
  5. Step 5: Solve for x
    x = 213,145,230,987.01/407,782.27
  6. Step 6: Final answer
    x = 522,693.72

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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.