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Finding the Fourth Proportional to 538,984.80, 807,094.80 and 514,101.60

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Solution

The fourth proportional to 538,984.80, 807,094.80 and 514,101.60 is: 769,833.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,984.80 : 807,094.80 = 514,101.60 : x
  2. Step 2: Convert to fraction form
    538,984.80/807,094.80 = 514,101.60/x
  3. Step 3: Cross multiply
    538,984.80x = 807,094.80 × 514,101.60
  4. Step 4: Simplify right side
    538,984.80x = 414,928,728,031.68
  5. Step 5: Solve for x
    x = 414,928,728,031.68/538,984.80
  6. Step 6: Final answer
    x = 769,833.82

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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.