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Finding the Fourth Proportional to 298,854.46, 412,407.13 and 162,885.50

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Solution

The fourth proportional to 298,854.46, 412,407.13 and 162,885.50 is: 224,775.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,854.46 : 412,407.13 = 162,885.50 : x
  2. Step 2: Convert to fraction form
    298,854.46/412,407.13 = 162,885.50/x
  3. Step 3: Cross multiply
    298,854.46x = 412,407.13 × 162,885.50
  4. Step 4: Simplify right side
    298,854.46x = 67,175,141,573.62
  5. Step 5: Solve for x
    x = 67,175,141,573.62/298,854.46
  6. Step 6: Final answer
    x = 224,775.44

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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.