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Finding the Fourth Proportional to 296,395, 409,025.12 and 162,259

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Solution

The fourth proportional to 296,395, 409,025.12 and 162,259 is: 223,917.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,395 : 409,025.12 = 162,259 : x
  2. Step 2: Convert to fraction form
    296,395/409,025.12 = 162,259/x
  3. Step 3: Cross multiply
    296,395x = 409,025.12 × 162,259
  4. Step 4: Simplify right side
    296,395x = 66,368,006,946.08
  5. Step 5: Solve for x
    x = 66,368,006,946.08/296,395
  6. Step 6: Final answer
    x = 223,917.43

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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.