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Finding the Fourth Proportional to 296,433, 409,077.54 and 162,297

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Solution

The fourth proportional to 296,433, 409,077.54 and 162,297 is: 223,969.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,433 : 409,077.54 = 162,297 : x
  2. Step 2: Convert to fraction form
    296,433/409,077.54 = 162,297/x
  3. Step 3: Cross multiply
    296,433x = 409,077.54 × 162,297
  4. Step 4: Simplify right side
    296,433x = 66,392,057,509.38
  5. Step 5: Solve for x
    x = 66,392,057,509.38/296,433
  6. Step 6: Final answer
    x = 223,969.86

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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.