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Finding the Fourth Proportional to 301,074.48, 415,464.12 and 166,938.48

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Solution

The fourth proportional to 301,074.48, 415,464.12 and 166,938.48 is: 230,364.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,074.48 : 415,464.12 = 166,938.48 : x
  2. Step 2: Convert to fraction form
    301,074.48/415,464.12 = 166,938.48/x
  3. Step 3: Cross multiply
    301,074.48x = 415,464.12 × 166,938.48
  4. Step 4: Simplify right side
    301,074.48x = 69,356,948,687.34
  5. Step 5: Solve for x
    x = 69,356,948,687.34/301,074.48
  6. Step 6: Final answer
    x = 230,364.75

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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.