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Finding the Fourth Proportional to 551,342.70, 827,014.05 and 341,390.70

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Solution

The fourth proportional to 551,342.70, 827,014.05 and 341,390.70 is: 512,086.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,342.70 : 827,014.05 = 341,390.70 : x
  2. Step 2: Convert to fraction form
    551,342.70/827,014.05 = 341,390.70/x
  3. Step 3: Cross multiply
    551,342.70x = 827,014.05 × 341,390.70
  4. Step 4: Simplify right side
    551,342.70x = 282,334,905,439.34
  5. Step 5: Solve for x
    x = 282,334,905,439.34/551,342.70
  6. Step 6: Final answer
    x = 512,086.05

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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.