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Finding the Fourth Proportional to 297,409.50, 410,427.99 and 163,276.38

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Solution

The fourth proportional to 297,409.50, 410,427.99 and 163,276.38 is: 225,322.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,409.50 : 410,427.99 = 163,276.38 : x
  2. Step 2: Convert to fraction form
    297,409.50/410,427.99 = 163,276.38/x
  3. Step 3: Cross multiply
    297,409.50x = 410,427.99 × 163,276.38
  4. Step 4: Simplify right side
    297,409.50x = 67,013,196,457.88
  5. Step 5: Solve for x
    x = 67,013,196,457.88/297,409.50
  6. Step 6: Final answer
    x = 225,322.99

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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.