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Finding the Fourth Proportional to 507,084, 699,749.31 and 277,597.29

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Solution

The fourth proportional to 507,084, 699,749.31 and 277,597.29 is: 383,069.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,084 : 699,749.31 = 277,597.29 : x
  2. Step 2: Convert to fraction form
    507,084/699,749.31 = 277,597.29/x
  3. Step 3: Cross multiply
    507,084x = 699,749.31 × 277,597.29
  4. Step 4: Simplify right side
    507,084x = 194,248,512,135.37
  5. Step 5: Solve for x
    x = 194,248,512,135.37/507,084
  6. Step 6: Final answer
    x = 383,069.69

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