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Finding the Fourth Proportional to 459,452.46, 689,191.65 and 127,028.46

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Solution

The fourth proportional to 459,452.46, 689,191.65 and 127,028.46 is: 190,546.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,452.46 : 689,191.65 = 127,028.46 : x
  2. Step 2: Convert to fraction form
    459,452.46/689,191.65 = 127,028.46/x
  3. Step 3: Cross multiply
    459,452.46x = 689,191.65 × 127,028.46
  4. Step 4: Simplify right side
    459,452.46x = 87,546,953,944.36
  5. Step 5: Solve for x
    x = 87,546,953,944.36/459,452.46
  6. Step 6: Final answer
    x = 190,546.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.