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Finding the Fourth Proportional to 384,113.82, 529,908.30 and 366,326.22

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Solution

The fourth proportional to 384,113.82, 529,908.30 and 366,326.22 is: 505,369.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,113.82 : 529,908.30 = 366,326.22 : x
  2. Step 2: Convert to fraction form
    384,113.82/529,908.30 = 366,326.22/x
  3. Step 3: Cross multiply
    384,113.82x = 529,908.30 × 366,326.22
  4. Step 4: Simplify right side
    384,113.82x = 194,119,304,485.63
  5. Step 5: Solve for x
    x = 194,119,304,485.63/384,113.82
  6. Step 6: Final answer
    x = 505,369.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.