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Finding the Fourth Proportional to 515,493.48, 773,054.82 and 178,442.76

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Solution

The fourth proportional to 515,493.48, 773,054.82 and 178,442.76 is: 267,599.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,493.48 : 773,054.82 = 178,442.76 : x
  2. Step 2: Convert to fraction form
    515,493.48/773,054.82 = 178,442.76/x
  3. Step 3: Cross multiply
    515,493.48x = 773,054.82 × 178,442.76
  4. Step 4: Simplify right side
    515,493.48x = 137,946,035,712.10
  5. Step 5: Solve for x
    x = 137,946,035,712.10/515,493.48
  6. Step 6: Final answer
    x = 267,599.96

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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.