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Finding the Fourth Proportional to 296,996, 409,854.56 and 162,862.88

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Solution

The fourth proportional to 296,996, 409,854.56 and 162,862.88 is: 224,750.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,996 : 409,854.56 = 162,862.88 : x
  2. Step 2: Convert to fraction form
    296,996/409,854.56 = 162,862.88/x
  3. Step 3: Cross multiply
    296,996x = 409,854.56 × 162,862.88
  4. Step 4: Simplify right side
    296,996x = 66,750,094,022.73
  5. Step 5: Solve for x
    x = 66,750,094,022.73/296,996
  6. Step 6: Final answer
    x = 224,750.82

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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.