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Finding the Fourth Proportional to 623,971.84, 861,078.32 and 337,491.24

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Solution

The fourth proportional to 623,971.84, 861,078.32 and 337,491.24 is: 465,736.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,971.84 : 861,078.32 = 337,491.24 : x
  2. Step 2: Convert to fraction form
    623,971.84/861,078.32 = 337,491.24/x
  3. Step 3: Cross multiply
    623,971.84x = 861,078.32 × 337,491.24
  4. Step 4: Simplify right side
    623,971.84x = 290,606,389,953.92
  5. Step 5: Solve for x
    x = 290,606,389,953.92/623,971.84
  6. Step 6: Final answer
    x = 465,736.39

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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.