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Finding the Fourth Proportional to 457,804.63, 686,793.08 and 184,271.75

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Solution

The fourth proportional to 457,804.63, 686,793.08 and 184,271.75 is: 276,442.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,804.63 : 686,793.08 = 184,271.75 : x
  2. Step 2: Convert to fraction form
    457,804.63/686,793.08 = 184,271.75/x
  3. Step 3: Cross multiply
    457,804.63x = 686,793.08 × 184,271.75
  4. Step 4: Simplify right side
    457,804.63x = 126,556,562,739.49
  5. Step 5: Solve for x
    x = 126,556,562,739.49/457,804.63
  6. Step 6: Final answer
    x = 276,442.30

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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.