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Finding the Fourth Proportional to 682,769.44, 942,390.48 and 414,722.08

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Solution

The fourth proportional to 682,769.44, 942,390.48 and 414,722.08 is: 572,418.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,769.44 : 942,390.48 = 414,722.08 : x
  2. Step 2: Convert to fraction form
    682,769.44/942,390.48 = 414,722.08/x
  3. Step 3: Cross multiply
    682,769.44x = 942,390.48 × 414,722.08
  4. Step 4: Simplify right side
    682,769.44x = 390,830,140,037.80
  5. Step 5: Solve for x
    x = 390,830,140,037.80/682,769.44
  6. Step 6: Final answer
    x = 572,418.91

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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.