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Finding the Fourth Proportional to 301,357.50, 415,892.79 and 167,221.50

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Solution

The fourth proportional to 301,357.50, 415,892.79 and 167,221.50 is: 230,776.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,357.50 : 415,892.79 = 167,221.50 : x
  2. Step 2: Convert to fraction form
    301,357.50/415,892.79 = 167,221.50/x
  3. Step 3: Cross multiply
    301,357.50x = 415,892.79 × 167,221.50
  4. Step 4: Simplify right side
    301,357.50x = 69,546,216,182.99
  5. Step 5: Solve for x
    x = 69,546,216,182.99/301,357.50
  6. Step 6: Final answer
    x = 230,776.46

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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.