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Finding the Fourth Proportional to 298,607.28, 412,078.02 and 164,471.28

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Solution

The fourth proportional to 298,607.28, 412,078.02 and 164,471.28 is: 226,970.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,607.28 : 412,078.02 = 164,471.28 : x
  2. Step 2: Convert to fraction form
    298,607.28/412,078.02 = 164,471.28/x
  3. Step 3: Cross multiply
    298,607.28x = 412,078.02 × 164,471.28
  4. Step 4: Simplify right side
    298,607.28x = 67,774,999,409.27
  5. Step 5: Solve for x
    x = 67,774,999,409.27/298,607.28
  6. Step 6: Final answer
    x = 226,970.35

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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.