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Finding the Fourth Proportional to 305,288.92, 457,340.46 and 171,762.04

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Solution

The fourth proportional to 305,288.92, 457,340.46 and 171,762.04 is: 257,309.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,288.92 : 457,340.46 = 171,762.04 : x
  2. Step 2: Convert to fraction form
    305,288.92/457,340.46 = 171,762.04/x
  3. Step 3: Cross multiply
    305,288.92x = 457,340.46 × 171,762.04
  4. Step 4: Simplify right side
    305,288.92x = 78,553,730,384.14
  5. Step 5: Solve for x
    x = 78,553,730,384.14/305,288.92
  6. Step 6: Final answer
    x = 257,309.47

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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.