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Finding the Fourth Proportional to 298,984.96, 412,602.49 and 163,017.82

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Solution

The fourth proportional to 298,984.96, 412,602.49 and 163,017.82 is: 224,966.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,984.96 : 412,602.49 = 163,017.82 : x
  2. Step 2: Convert to fraction form
    298,984.96/412,602.49 = 163,017.82/x
  3. Step 3: Cross multiply
    298,984.96x = 412,602.49 × 163,017.82
  4. Step 4: Simplify right side
    298,984.96x = 67,261,558,446.37
  5. Step 5: Solve for x
    x = 67,261,558,446.37/298,984.96
  6. Step 6: Final answer
    x = 224,966.36

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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.