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Finding the Fourth Proportional to 297,695, 410,825.58 and 163,559

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Solution

The fourth proportional to 297,695, 410,825.58 and 163,559 is: 225,714.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,695 : 410,825.58 = 163,559 : x
  2. Step 2: Convert to fraction form
    297,695/410,825.58 = 163,559/x
  3. Step 3: Cross multiply
    297,695x = 410,825.58 × 163,559
  4. Step 4: Simplify right side
    297,695x = 67,194,221,039.22
  5. Step 5: Solve for x
    x = 67,194,221,039.22/297,695
  6. Step 6: Final answer
    x = 225,714.98

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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.