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Finding the Fourth Proportional to 431,779.95, 646,843.73 and 232,033.95

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Solution

The fourth proportional to 431,779.95, 646,843.73 and 232,033.95 is: 347,606.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,779.95 : 646,843.73 = 232,033.95 : x
  2. Step 2: Convert to fraction form
    431,779.95/646,843.73 = 232,033.95/x
  3. Step 3: Cross multiply
    431,779.95x = 646,843.73 × 232,033.95
  4. Step 4: Simplify right side
    431,779.95x = 150,089,704,544.46
  5. Step 5: Solve for x
    x = 150,089,704,544.46/431,779.95
  6. Step 6: Final answer
    x = 347,606.93

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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.