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Finding the Fourth Proportional to 471,419.68, 650,546.70 and 256,555.16

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Solution

The fourth proportional to 471,419.68, 650,546.70 and 256,555.16 is: 354,039.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,419.68 : 650,546.70 = 256,555.16 : x
  2. Step 2: Convert to fraction form
    471,419.68/650,546.70 = 256,555.16/x
  3. Step 3: Cross multiply
    471,419.68x = 650,546.70 × 256,555.16
  4. Step 4: Simplify right side
    471,419.68x = 166,901,112,705.97
  5. Step 5: Solve for x
    x = 166,901,112,705.97/471,419.68
  6. Step 6: Final answer
    x = 354,039.34

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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.