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Finding the Fourth Proportional to 305,233.80, 457,461.90 and 222,030.60

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Solution

The fourth proportional to 305,233.80, 457,461.90 and 222,030.60 is: 332,763.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,233.80 : 457,461.90 = 222,030.60 : x
  2. Step 2: Convert to fraction form
    305,233.80/457,461.90 = 222,030.60/x
  3. Step 3: Cross multiply
    305,233.80x = 457,461.90 × 222,030.60
  4. Step 4: Simplify right side
    305,233.80x = 101,570,540,134.14
  5. Step 5: Solve for x
    x = 101,570,540,134.14/305,233.80
  6. Step 6: Final answer
    x = 332,763.08

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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.