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Finding the Fourth Proportional to 298,645, 412,124.36 and 162,677.36

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Solution

The fourth proportional to 298,645, 412,124.36 and 162,677.36 is: 224,491.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,645 : 412,124.36 = 162,677.36 : x
  2. Step 2: Convert to fraction form
    298,645/412,124.36 = 162,677.36/x
  3. Step 3: Cross multiply
    298,645x = 412,124.36 × 162,677.36
  4. Step 4: Simplify right side
    298,645x = 67,043,302,876.49
  5. Step 5: Solve for x
    x = 67,043,302,876.49/298,645
  6. Step 6: Final answer
    x = 224,491.63

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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.