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Finding the Fourth Proportional to 296,399, 409,030.64 and 162,263

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Solution

The fourth proportional to 296,399, 409,030.64 and 162,263 is: 223,922.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,399 : 409,030.64 = 162,263 : x
  2. Step 2: Convert to fraction form
    296,399/409,030.64 = 162,263/x
  3. Step 3: Cross multiply
    296,399x = 409,030.64 × 162,263
  4. Step 4: Simplify right side
    296,399x = 66,370,538,738.32
  5. Step 5: Solve for x
    x = 66,370,538,738.32/296,399
  6. Step 6: Final answer
    x = 223,922.95

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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.