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Finding the Fourth Proportional to 301,212.74, 415,667.40 and 167,076.74

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Solution

The fourth proportional to 301,212.74, 415,667.40 and 167,076.74 is: 230,562.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,212.74 : 415,667.40 = 167,076.74 : x
  2. Step 2: Convert to fraction form
    301,212.74/415,667.40 = 167,076.74/x
  3. Step 3: Cross multiply
    301,212.74x = 415,667.40 × 167,076.74
  4. Step 4: Simplify right side
    301,212.74x = 69,448,354,116.28
  5. Step 5: Solve for x
    x = 69,448,354,116.28/301,212.74
  6. Step 6: Final answer
    x = 230,562.47

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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.