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Finding the Fourth Proportional to 384,035.24, 576,056.28 and 117,797

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Solution

The fourth proportional to 384,035.24, 576,056.28 and 117,797 is: 176,696.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,035.24 : 576,056.28 = 117,797 : x
  2. Step 2: Convert to fraction form
    384,035.24/576,056.28 = 117,797/x
  3. Step 3: Cross multiply
    384,035.24x = 576,056.28 × 117,797
  4. Step 4: Simplify right side
    384,035.24x = 67,857,701,615.16
  5. Step 5: Solve for x
    x = 67,857,701,615.16/384,035.24
  6. Step 6: Final answer
    x = 176,696.55

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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.