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Finding the Fourth Proportional to 273,814.40, 410,980.80 and 168,838.40

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Solution

The fourth proportional to 273,814.40, 410,980.80 and 168,838.40 is: 253,417.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,814.40 : 410,980.80 = 168,838.40 : x
  2. Step 2: Convert to fraction form
    273,814.40/410,980.80 = 168,838.40/x
  3. Step 3: Cross multiply
    273,814.40x = 410,980.80 × 168,838.40
  4. Step 4: Simplify right side
    273,814.40x = 69,389,340,702.72
  5. Step 5: Solve for x
    x = 69,389,340,702.72/273,814.40
  6. Step 6: Final answer
    x = 253,417.43

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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.