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Finding the Fourth Proportional to 296,889, 409,732.74 and 162,778.92

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Solution

The fourth proportional to 296,889, 409,732.74 and 162,778.92 is: 224,649.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,889 : 409,732.74 = 162,778.92 : x
  2. Step 2: Convert to fraction form
    296,889/409,732.74 = 162,778.92/x
  3. Step 3: Cross multiply
    296,889x = 409,732.74 × 162,778.92
  4. Step 4: Simplify right side
    296,889x = 66,695,852,905.84
  5. Step 5: Solve for x
    x = 66,695,852,905.84/296,889
  6. Step 6: Final answer
    x = 224,649.12

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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.