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Finding the Fourth Proportional to 457,588.80, 686,512.80 and 142,077.60

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Solution

The fourth proportional to 457,588.80, 686,512.80 and 142,077.60 is: 213,156.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,588.80 : 686,512.80 = 142,077.60 : x
  2. Step 2: Convert to fraction form
    457,588.80/686,512.80 = 142,077.60/x
  3. Step 3: Cross multiply
    457,588.80x = 686,512.80 × 142,077.60
  4. Step 4: Simplify right side
    457,588.80x = 97,538,090,993.28
  5. Step 5: Solve for x
    x = 97,538,090,993.28/457,588.80
  6. Step 6: Final answer
    x = 213,156.64

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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.