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Finding the Fourth Proportional to 385,022, 577,766.28 and 163,406

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Solution

The fourth proportional to 385,022, 577,766.28 and 163,406 is: 245,208.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,022 : 577,766.28 = 163,406 : x
  2. Step 2: Convert to fraction form
    385,022/577,766.28 = 163,406/x
  3. Step 3: Cross multiply
    385,022x = 577,766.28 × 163,406
  4. Step 4: Simplify right side
    385,022x = 94,410,476,749.68
  5. Step 5: Solve for x
    x = 94,410,476,749.68/385,022
  6. Step 6: Final answer
    x = 245,208.01

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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.