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Finding the Fourth Proportional to 296,525, 409,205.94 and 162,389

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Solution

The fourth proportional to 296,525, 409,205.94 and 162,389 is: 224,097.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,525 : 409,205.94 = 162,389 : x
  2. Step 2: Convert to fraction form
    296,525/409,205.94 = 162,389/x
  3. Step 3: Cross multiply
    296,525x = 409,205.94 × 162,389
  4. Step 4: Simplify right side
    296,525x = 66,450,543,390.66
  5. Step 5: Solve for x
    x = 66,450,543,390.66/296,525
  6. Step 6: Final answer
    x = 224,097.61

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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.