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Finding the Fourth Proportional to 446,015.70, 615,183.66 and 409,340.03

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Solution

The fourth proportional to 446,015.70, 615,183.66 and 409,340.03 is: 564,597.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,015.70 : 615,183.66 = 409,340.03 : x
  2. Step 2: Convert to fraction form
    446,015.70/615,183.66 = 409,340.03/x
  3. Step 3: Cross multiply
    446,015.70x = 615,183.66 × 409,340.03
  4. Step 4: Simplify right side
    446,015.70x = 251,819,294,763.99
  5. Step 5: Solve for x
    x = 251,819,294,763.99/446,015.70
  6. Step 6: Final answer
    x = 564,597.38

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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.