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Finding the Fourth Proportional to 457,533.78, 686,392.29 and 158,025.30

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Solution

The fourth proportional to 457,533.78, 686,392.29 and 158,025.30 is: 237,069.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,533.78 : 686,392.29 = 158,025.30 : x
  2. Step 2: Convert to fraction form
    457,533.78/686,392.29 = 158,025.30/x
  3. Step 3: Cross multiply
    457,533.78x = 686,392.29 × 158,025.30
  4. Step 4: Simplify right side
    457,533.78x = 108,467,347,544.94
  5. Step 5: Solve for x
    x = 108,467,347,544.94/457,533.78
  6. Step 6: Final answer
    x = 237,069.59

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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.