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Finding the Fourth Proportional to 298,606.08, 412,076.32 and 164,470.08

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Solution

The fourth proportional to 298,606.08, 412,076.32 and 164,470.08 is: 226,968.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,606.08 : 412,076.32 = 164,470.08 : x
  2. Step 2: Convert to fraction form
    298,606.08/412,076.32 = 164,470.08/x
  3. Step 3: Cross multiply
    298,606.08x = 412,076.32 × 164,470.08
  4. Step 4: Simplify right side
    298,606.08x = 67,774,225,316.51
  5. Step 5: Solve for x
    x = 67,774,225,316.51/298,606.08
  6. Step 6: Final answer
    x = 226,968.67

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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.