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Finding the Fourth Proportional to 384,165.20, 576,247.80 and 184,437.43

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Solution

The fourth proportional to 384,165.20, 576,247.80 and 184,437.43 is: 276,656.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,165.20 : 576,247.80 = 184,437.43 : x
  2. Step 2: Convert to fraction form
    384,165.20/576,247.80 = 184,437.43/x
  3. Step 3: Cross multiply
    384,165.20x = 576,247.80 × 184,437.43
  4. Step 4: Simplify right side
    384,165.20x = 106,281,663,275.15
  5. Step 5: Solve for x
    x = 106,281,663,275.15/384,165.20
  6. Step 6: Final answer
    x = 276,656.15

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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.