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Finding the Fourth Proportional to 468,390.14, 646,390.96 and 284,566.14

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Solution

The fourth proportional to 468,390.14, 646,390.96 and 284,566.14 is: 392,708.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,390.14 : 646,390.96 = 284,566.14 : x
  2. Step 2: Convert to fraction form
    468,390.14/646,390.96 = 284,566.14/x
  3. Step 3: Cross multiply
    468,390.14x = 646,390.96 × 284,566.14
  4. Step 4: Simplify right side
    468,390.14x = 183,940,980,418.09
  5. Step 5: Solve for x
    x = 183,940,980,418.09/468,390.14
  6. Step 6: Final answer
    x = 392,708.91

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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.