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Finding the Fourth Proportional to 468,394.14, 646,396.48 and 284,570.14

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Solution

The fourth proportional to 468,394.14, 646,396.48 and 284,570.14 is: 392,714.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,394.14 : 646,396.48 = 284,570.14 : x
  2. Step 2: Convert to fraction form
    468,394.14/646,396.48 = 284,570.14/x
  3. Step 3: Cross multiply
    468,394.14x = 646,396.48 × 284,570.14
  4. Step 4: Simplify right side
    468,394.14x = 183,945,136,809.11
  5. Step 5: Solve for x
    x = 183,945,136,809.11/468,394.14
  6. Step 6: Final answer
    x = 392,714.43

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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.