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Finding the Fourth Proportional to 460,909, 636,054.50 and 248,941

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Solution

The fourth proportional to 460,909, 636,054.50 and 248,941 is: 343,538.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,909 : 636,054.50 = 248,941 : x
  2. Step 2: Convert to fraction form
    460,909/636,054.50 = 248,941/x
  3. Step 3: Cross multiply
    460,909x = 636,054.50 × 248,941
  4. Step 4: Simplify right side
    460,909x = 158,340,043,284.50
  5. Step 5: Solve for x
    x = 158,340,043,284.50/460,909
  6. Step 6: Final answer
    x = 343,538.62

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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.