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Finding the Fourth Proportional to 682,258.50, 941,405.76 and 410,261.04

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Solution

The fourth proportional to 682,258.50, 941,405.76 and 410,261.04 is: 566,093.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,258.50 : 941,405.76 = 410,261.04 : x
  2. Step 2: Convert to fraction form
    682,258.50/941,405.76 = 410,261.04/x
  3. Step 3: Cross multiply
    682,258.50x = 941,405.76 × 410,261.04
  4. Step 4: Simplify right side
    682,258.50x = 386,222,106,159.59
  5. Step 5: Solve for x
    x = 386,222,106,159.59/682,258.50
  6. Step 6: Final answer
    x = 566,093.51

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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.