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Finding the Fourth Proportional to 384,749.70, 577,134.45 and 182,298.30

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Solution

The fourth proportional to 384,749.70, 577,134.45 and 182,298.30 is: 273,452.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,749.70 : 577,134.45 = 182,298.30 : x
  2. Step 2: Convert to fraction form
    384,749.70/577,134.45 = 182,298.30/x
  3. Step 3: Cross multiply
    384,749.70x = 577,134.45 × 182,298.30
  4. Step 4: Simplify right side
    384,749.70x = 105,210,629,106.44
  5. Step 5: Solve for x
    x = 105,210,629,106.44/384,749.70
  6. Step 6: Final answer
    x = 273,452.14

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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.