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Finding the Fourth Proportional to 384,725.75, 577,098.47 and 182,274.45

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Solution

The fourth proportional to 384,725.75, 577,098.47 and 182,274.45 is: 273,416.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,725.75 : 577,098.47 = 182,274.45 : x
  2. Step 2: Convert to fraction form
    384,725.75/577,098.47 = 182,274.45/x
  3. Step 3: Cross multiply
    384,725.75x = 577,098.47 × 182,274.45
  4. Step 4: Simplify right side
    384,725.75x = 105,190,304,506.66
  5. Step 5: Solve for x
    x = 105,190,304,506.66/384,725.75
  6. Step 6: Final answer
    x = 273,416.34

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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.