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Finding the Fourth Proportional to 384,902.01, 577,876.58 and 216,540.81

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Solution

The fourth proportional to 384,902.01, 577,876.58 and 216,540.81 is: 325,105.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,902.01 : 577,876.58 = 216,540.81 : x
  2. Step 2: Convert to fraction form
    384,902.01/577,876.58 = 216,540.81/x
  3. Step 3: Cross multiply
    384,902.01x = 577,876.58 × 216,540.81
  4. Step 4: Simplify right side
    384,902.01x = 125,133,862,442.55
  5. Step 5: Solve for x
    x = 125,133,862,442.55/384,902.01
  6. Step 6: Final answer
    x = 325,105.77

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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.