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Finding the Fourth Proportional to 457,807.63, 686,797.59 and 184,274.74

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Solution

The fourth proportional to 457,807.63, 686,797.59 and 184,274.74 is: 276,446.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,807.63 : 686,797.59 = 184,274.74 : x
  2. Step 2: Convert to fraction form
    457,807.63/686,797.59 = 184,274.74/x
  3. Step 3: Cross multiply
    457,807.63x = 686,797.59 × 184,274.74
  4. Step 4: Simplify right side
    457,807.63x = 126,559,447,329.88
  5. Step 5: Solve for x
    x = 126,559,447,329.88/457,807.63
  6. Step 6: Final answer
    x = 276,446.78

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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.