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Finding the Fourth Proportional to 507,070.40, 699,729.41 and 277,583.30

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Solution

The fourth proportional to 507,070.40, 699,729.41 and 277,583.30 is: 383,049.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,070.40 : 699,729.41 = 277,583.30 : x
  2. Step 2: Convert to fraction form
    507,070.40/699,729.41 = 277,583.30/x
  3. Step 3: Cross multiply
    507,070.40x = 699,729.41 × 277,583.30
  4. Step 4: Simplify right side
    507,070.40x = 194,233,197,346.94
  5. Step 5: Solve for x
    x = 194,233,197,346.94/507,070.40
  6. Step 6: Final answer
    x = 383,049.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.