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Finding the Fourth Proportional to 301,028.80, 415,438.38 and 166,892.80

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Solution

The fourth proportional to 301,028.80, 415,438.38 and 166,892.80 is: 230,322.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,028.80 : 415,438.38 = 166,892.80 : x
  2. Step 2: Convert to fraction form
    301,028.80/415,438.38 = 166,892.80/x
  3. Step 3: Cross multiply
    301,028.80x = 415,438.38 × 166,892.80
  4. Step 4: Simplify right side
    301,028.80x = 69,333,674,465.66
  5. Step 5: Solve for x
    x = 69,333,674,465.66/301,028.80
  6. Step 6: Final answer
    x = 230,322.40

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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.