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Finding the Fourth Proportional to 288,693.60, 433,477.80 and 222,208.80

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Solution

The fourth proportional to 288,693.60, 433,477.80 and 222,208.80 is: 333,649.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,693.60 : 433,477.80 = 222,208.80 : x
  2. Step 2: Convert to fraction form
    288,693.60/433,477.80 = 222,208.80/x
  3. Step 3: Cross multiply
    288,693.60x = 433,477.80 × 222,208.80
  4. Step 4: Simplify right side
    288,693.60x = 96,322,581,764.64
  5. Step 5: Solve for x
    x = 96,322,581,764.64/288,693.60
  6. Step 6: Final answer
    x = 333,649.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.