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Finding the Fourth Proportional to 296,063.76, 408,577.74 and 161,927.76

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Solution

The fourth proportional to 296,063.76, 408,577.74 and 161,927.76 is: 223,465.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,063.76 : 408,577.74 = 161,927.76 : x
  2. Step 2: Convert to fraction form
    296,063.76/408,577.74 = 161,927.76/x
  3. Step 3: Cross multiply
    296,063.76x = 408,577.74 × 161,927.76
  4. Step 4: Simplify right side
    296,063.76x = 66,160,078,224.06
  5. Step 5: Solve for x
    x = 66,160,078,224.06/296,063.76
  6. Step 6: Final answer
    x = 223,465.64

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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.