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Finding the Fourth Proportional to 297,180, 410,115.60 and 163,044

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Solution

The fourth proportional to 297,180, 410,115.60 and 163,044 is: 225,004.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,180 : 410,115.60 = 163,044 : x
  2. Step 2: Convert to fraction form
    297,180/410,115.60 = 163,044/x
  3. Step 3: Cross multiply
    297,180x = 410,115.60 × 163,044
  4. Step 4: Simplify right side
    297,180x = 66,866,887,886.40
  5. Step 5: Solve for x
    x = 66,866,887,886.40/297,180
  6. Step 6: Final answer
    x = 225,004.67

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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.