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Finding the Fourth Proportional to 304,292.20, 456,438.30 and 186,194.20

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Solution

The fourth proportional to 304,292.20, 456,438.30 and 186,194.20 is: 279,291.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,292.20 : 456,438.30 = 186,194.20 : x
  2. Step 2: Convert to fraction form
    304,292.20/456,438.30 = 186,194.20/x
  3. Step 3: Cross multiply
    304,292.20x = 456,438.30 × 186,194.20
  4. Step 4: Simplify right side
    304,292.20x = 84,986,164,117.86
  5. Step 5: Solve for x
    x = 84,986,164,117.86/304,292.20
  6. Step 6: Final answer
    x = 279,291.30

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