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Finding the Fourth Proportional to 468,256.54, 646,124.51 and 284,399.44

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Solution

The fourth proportional to 468,256.54, 646,124.51 and 284,399.44 is: 392,429.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,256.54 : 646,124.51 = 284,399.44 : x
  2. Step 2: Convert to fraction form
    468,256.54/646,124.51 = 284,399.44/x
  3. Step 3: Cross multiply
    468,256.54x = 646,124.51 × 284,399.44
  4. Step 4: Simplify right side
    468,256.54x = 183,757,445,583.65
  5. Step 5: Solve for x
    x = 183,757,445,583.65/468,256.54
  6. Step 6: Final answer
    x = 392,429.00

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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.