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Finding the Fourth Proportional to 400,175.28, 600,263.93 and 163,517.95

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Solution

The fourth proportional to 400,175.28, 600,263.93 and 163,517.95 is: 245,277.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,175.28 : 600,263.93 = 163,517.95 : x
  2. Step 2: Convert to fraction form
    400,175.28/600,263.93 = 163,517.95/x
  3. Step 3: Cross multiply
    400,175.28x = 600,263.93 × 163,517.95
  4. Step 4: Simplify right side
    400,175.28x = 98,153,927,292.54
  5. Step 5: Solve for x
    x = 98,153,927,292.54/400,175.28
  6. Step 6: Final answer
    x = 245,277.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.