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Finding the Fourth Proportional to 296,520, 409,199.04 and 162,384

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Solution

The fourth proportional to 296,520, 409,199.04 and 162,384 is: 224,090.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,520 : 409,199.04 = 162,384 : x
  2. Step 2: Convert to fraction form
    296,520/409,199.04 = 162,384/x
  3. Step 3: Cross multiply
    296,520x = 409,199.04 × 162,384
  4. Step 4: Simplify right side
    296,520x = 66,447,376,911.36
  5. Step 5: Solve for x
    x = 66,447,376,911.36/296,520
  6. Step 6: Final answer
    x = 224,090.71

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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.