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Finding the Fourth Proportional to 551,851, 827,028 and 251,959.84

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Solution

The fourth proportional to 551,851, 827,028 and 251,959.84 is: 377,598.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,851 : 827,028 = 251,959.84 : x
  2. Step 2: Convert to fraction form
    551,851/827,028 = 251,959.84/x
  3. Step 3: Cross multiply
    551,851x = 827,028 × 251,959.84
  4. Step 4: Simplify right side
    551,851x = 208,377,842,555.52
  5. Step 5: Solve for x
    x = 208,377,842,555.52/551,851
  6. Step 6: Final answer
    x = 377,598.02

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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.