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Finding the Fourth Proportional to 468,347.22, 646,334.81 and 287,024.11

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Solution

The fourth proportional to 468,347.22, 646,334.81 and 287,024.11 is: 396,102.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,347.22 : 646,334.81 = 287,024.11 : x
  2. Step 2: Convert to fraction form
    468,347.22/646,334.81 = 287,024.11/x
  3. Step 3: Cross multiply
    468,347.22x = 646,334.81 × 287,024.11
  4. Step 4: Simplify right side
    468,347.22x = 185,513,672,167.15
  5. Step 5: Solve for x
    x = 185,513,672,167.15/468,347.22
  6. Step 6: Final answer
    x = 396,102.86

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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.