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Finding the Fourth Proportional to 301,022.88, 415,412.16 and 166,886.88

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Solution

The fourth proportional to 301,022.88, 415,412.16 and 166,886.88 is: 230,304.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,022.88 : 415,412.16 = 166,886.88 : x
  2. Step 2: Convert to fraction form
    301,022.88/415,412.16 = 166,886.88/x
  3. Step 3: Cross multiply
    301,022.88x = 415,412.16 × 166,886.88
  4. Step 4: Simplify right side
    301,022.88x = 69,326,839,296.46
  5. Step 5: Solve for x
    x = 69,326,839,296.46/301,022.88
  6. Step 6: Final answer
    x = 230,304.22

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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.