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Finding the Fourth Proportional to 468,265.50, 646,206.37 and 253,405.54

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Solution

The fourth proportional to 468,265.50, 646,206.37 and 253,405.54 is: 349,699.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,265.50 : 646,206.37 = 253,405.54 : x
  2. Step 2: Convert to fraction form
    468,265.50/646,206.37 = 253,405.54/x
  3. Step 3: Cross multiply
    468,265.50x = 646,206.37 × 253,405.54
  4. Step 4: Simplify right side
    468,265.50x = 163,752,274,141.29
  5. Step 5: Solve for x
    x = 163,752,274,141.29/468,265.50
  6. Step 6: Final answer
    x = 349,699.63

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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.