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Finding the Fourth Proportional to 430,600.92, 645,945.42 and 164,585.34

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Solution

The fourth proportional to 430,600.92, 645,945.42 and 164,585.34 is: 246,894.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,600.92 : 645,945.42 = 164,585.34 : x
  2. Step 2: Convert to fraction form
    430,600.92/645,945.42 = 164,585.34/x
  3. Step 3: Cross multiply
    430,600.92x = 645,945.42 × 164,585.34
  4. Step 4: Simplify right side
    430,600.92x = 106,313,146,572.14
  5. Step 5: Solve for x
    x = 106,313,146,572.14/430,600.92
  6. Step 6: Final answer
    x = 246,894.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.