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Finding the Fourth Proportional to 457,573.02, 686,329.40 and 158,057.88

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Solution

The fourth proportional to 457,573.02, 686,329.40 and 158,057.88 is: 237,076.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,573.02 : 686,329.40 = 158,057.88 : x
  2. Step 2: Convert to fraction form
    457,573.02/686,329.40 = 158,057.88/x
  3. Step 3: Cross multiply
    457,573.02x = 686,329.40 × 158,057.88
  4. Step 4: Simplify right side
    457,573.02x = 108,479,769,155.38
  5. Step 5: Solve for x
    x = 108,479,769,155.38/457,573.02
  6. Step 6: Final answer
    x = 237,076.41

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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.