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Finding the Fourth Proportional to 342,024.20, 513,036.30 and 306,594.80

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Solution

The fourth proportional to 342,024.20, 513,036.30 and 306,594.80 is: 459,892.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,024.20 : 513,036.30 = 306,594.80 : x
  2. Step 2: Convert to fraction form
    342,024.20/513,036.30 = 306,594.80/x
  3. Step 3: Cross multiply
    342,024.20x = 513,036.30 × 306,594.80
  4. Step 4: Simplify right side
    342,024.20x = 157,294,261,791.24
  5. Step 5: Solve for x
    x = 157,294,261,791.24/342,024.20
  6. Step 6: Final answer
    x = 459,892.20

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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.