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Finding the Fourth Proportional to 457,801.94, 686,789.01 and 184,269.06

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Solution

The fourth proportional to 457,801.94, 686,789.01 and 184,269.06 is: 276,438.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,801.94 : 686,789.01 = 184,269.06 : x
  2. Step 2: Convert to fraction form
    457,801.94/686,789.01 = 184,269.06/x
  3. Step 3: Cross multiply
    457,801.94x = 686,789.01 × 184,269.06
  4. Step 4: Simplify right side
    457,801.94x = 126,553,965,291.03
  5. Step 5: Solve for x
    x = 126,553,965,291.03/457,801.94
  6. Step 6: Final answer
    x = 276,438.24

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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.