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Finding the Fourth Proportional to 297,182, 410,118.38 and 163,046

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Solution

The fourth proportional to 297,182, 410,118.38 and 163,046 is: 225,007.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,182 : 410,118.38 = 163,046 : x
  2. Step 2: Convert to fraction form
    297,182/410,118.38 = 163,046/x
  3. Step 3: Cross multiply
    297,182x = 410,118.38 × 163,046
  4. Step 4: Simplify right side
    297,182x = 66,868,161,385.48
  5. Step 5: Solve for x
    x = 66,868,161,385.48/297,182
  6. Step 6: Final answer
    x = 225,007.44

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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.