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Finding the Fourth Proportional to 298,884.52, 412,457.92 and 162,918.46

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Solution

The fourth proportional to 298,884.52, 412,457.92 and 162,918.46 is: 224,825.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,884.52 : 412,457.92 = 162,918.46 : x
  2. Step 2: Convert to fraction form
    298,884.52/412,457.92 = 162,918.46/x
  3. Step 3: Cross multiply
    298,884.52x = 412,457.92 × 162,918.46
  4. Step 4: Simplify right side
    298,884.52x = 67,197,009,141.20
  5. Step 5: Solve for x
    x = 67,197,009,141.20/298,884.52
  6. Step 6: Final answer
    x = 224,825.99

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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.