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Finding the Fourth Proportional to 538,241.58, 807,602.94 and 301,583.88

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Solution

The fourth proportional to 538,241.58, 807,602.94 and 301,583.88 is: 452,510.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,241.58 : 807,602.94 = 301,583.88 : x
  2. Step 2: Convert to fraction form
    538,241.58/807,602.94 = 301,583.88/x
  3. Step 3: Cross multiply
    538,241.58x = 807,602.94 × 301,583.88
  4. Step 4: Simplify right side
    538,241.58x = 243,560,028,144.61
  5. Step 5: Solve for x
    x = 243,560,028,144.61/538,241.58
  6. Step 6: Final answer
    x = 452,510.61

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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.