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Finding the Fourth Proportional to 380,434.79, 570,901.37 and 143,777.50

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Solution

The fourth proportional to 380,434.79, 570,901.37 and 143,777.50 is: 215,760.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,434.79 : 570,901.37 = 143,777.50 : x
  2. Step 2: Convert to fraction form
    380,434.79/570,901.37 = 143,777.50/x
  3. Step 3: Cross multiply
    380,434.79x = 570,901.37 × 143,777.50
  4. Step 4: Simplify right side
    380,434.79x = 82,082,769,579.03
  5. Step 5: Solve for x
    x = 82,082,769,579.03/380,434.79
  6. Step 6: Final answer
    x = 215,760.42

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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.