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Finding the Fourth Proportional to 384,228.12, 576,388.14 and 117,953.64

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Solution

The fourth proportional to 384,228.12, 576,388.14 and 117,953.64 is: 176,944.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,228.12 : 576,388.14 = 117,953.64 : x
  2. Step 2: Convert to fraction form
    384,228.12/576,388.14 = 117,953.64/x
  3. Step 3: Cross multiply
    384,228.12x = 576,388.14 × 117,953.64
  4. Step 4: Simplify right side
    384,228.12x = 67,987,079,165.83
  5. Step 5: Solve for x
    x = 67,987,079,165.83/384,228.12
  6. Step 6: Final answer
    x = 176,944.57

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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.