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Finding the Fourth Proportional to 405,024.60, 607,536.90 and 381,696.60

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Solution

The fourth proportional to 405,024.60, 607,536.90 and 381,696.60 is: 572,544.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,024.60 : 607,536.90 = 381,696.60 : x
  2. Step 2: Convert to fraction form
    405,024.60/607,536.90 = 381,696.60/x
  3. Step 3: Cross multiply
    405,024.60x = 607,536.90 × 381,696.60
  4. Step 4: Simplify right side
    405,024.60x = 231,894,769,104.54
  5. Step 5: Solve for x
    x = 231,894,769,104.54/405,024.60
  6. Step 6: Final answer
    x = 572,544.90

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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.