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Finding the Fourth Proportional to 682,771.44, 942,393.24 and 414,724.08

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Solution

The fourth proportional to 682,771.44, 942,393.24 and 414,724.08 is: 572,421.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,771.44 : 942,393.24 = 414,724.08 : x
  2. Step 2: Convert to fraction form
    682,771.44/942,393.24 = 414,724.08/x
  3. Step 3: Cross multiply
    682,771.44x = 942,393.24 × 414,724.08
  4. Step 4: Simplify right side
    682,771.44x = 390,833,169,457.22
  5. Step 5: Solve for x
    x = 390,833,169,457.22/682,771.44
  6. Step 6: Final answer
    x = 572,421.67

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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.