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Finding the Fourth Proportional to 507,384.23, 700,181.38 and 277,946.06

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Solution

The fourth proportional to 507,384.23, 700,181.38 and 277,946.06 is: 383,560.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,384.23 : 700,181.38 = 277,946.06 : x
  2. Step 2: Convert to fraction form
    507,384.23/700,181.38 = 277,946.06/x
  3. Step 3: Cross multiply
    507,384.23x = 700,181.38 × 277,946.06
  4. Step 4: Simplify right side
    507,384.23x = 194,612,653,499.56
  5. Step 5: Solve for x
    x = 194,612,653,499.56/507,384.23
  6. Step 6: Final answer
    x = 383,560.71

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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.