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Finding the Fourth Proportional to 384,739.64, 577,138.45 and 114,846.45

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Solution

The fourth proportional to 384,739.64, 577,138.45 and 114,846.45 is: 172,278.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,739.64 : 577,138.45 = 114,846.45 : x
  2. Step 2: Convert to fraction form
    384,739.64/577,138.45 = 114,846.45/x
  3. Step 3: Cross multiply
    384,739.64x = 577,138.45 × 114,846.45
  4. Step 4: Simplify right side
    384,739.64x = 66,282,302,141.00
  5. Step 5: Solve for x
    x = 66,282,302,141.00/384,739.64
  6. Step 6: Final answer
    x = 172,278.33

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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.