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Finding the Fourth Proportional to 384,902.64, 577,877.52 and 216,541.44

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Solution

The fourth proportional to 384,902.64, 577,877.52 and 216,541.44 is: 325,106.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,902.64 : 577,877.52 = 216,541.44 : x
  2. Step 2: Convert to fraction form
    384,902.64/577,877.52 = 216,541.44/x
  3. Step 3: Cross multiply
    384,902.64x = 577,877.52 × 216,541.44
  4. Step 4: Simplify right side
    384,902.64x = 125,134,430,324.43
  5. Step 5: Solve for x
    x = 125,134,430,324.43/384,902.64
  6. Step 6: Final answer
    x = 325,106.71

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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.