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Finding the Fourth Proportional to 405,974.70, 569,297.70 and 405,974.70

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Solution

The fourth proportional to 405,974.70, 569,297.70 and 405,974.70 is: 569,297.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,974.70 : 569,297.70 = 405,974.70 : x
  2. Step 2: Convert to fraction form
    405,974.70/569,297.70 = 405,974.70/x
  3. Step 3: Cross multiply
    405,974.70x = 569,297.70 × 405,974.70
  4. Step 4: Simplify right side
    405,974.70x = 231,120,462,968.19
  5. Step 5: Solve for x
    x = 231,120,462,968.19/405,974.70
  6. Step 6: Final answer
    x = 569,297.70

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.