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Finding the Fourth Proportional to 468,419.29, 646,418.08 and 253,559.29

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Solution

The fourth proportional to 468,419.29, 646,418.08 and 253,559.29 is: 349,911.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,419.29 : 646,418.08 = 253,559.29 : x
  2. Step 2: Convert to fraction form
    468,419.29/646,418.08 = 253,559.29/x
  3. Step 3: Cross multiply
    468,419.29x = 646,418.08 × 253,559.29
  4. Step 4: Simplify right side
    468,419.29x = 163,905,309,407.96
  5. Step 5: Solve for x
    x = 163,905,309,407.96/468,419.29
  6. Step 6: Final answer
    x = 349,911.53

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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.