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Finding the Fourth Proportional to 682,830.94, 942,684.12 and 410,965.57

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Solution

The fourth proportional to 682,830.94, 942,684.12 and 410,965.57 is: 567,359.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,830.94 : 942,684.12 = 410,965.57 : x
  2. Step 2: Convert to fraction form
    682,830.94/942,684.12 = 410,965.57/x
  3. Step 3: Cross multiply
    682,830.94x = 942,684.12 × 410,965.57
  4. Step 4: Simplify right side
    682,830.94x = 387,410,716,705.75
  5. Step 5: Solve for x
    x = 387,410,716,705.75/682,830.94
  6. Step 6: Final answer
    x = 567,359.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.