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Finding the Fourth Proportional to 507,072.65, 699,732.51 and 277,585.55

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Solution

The fourth proportional to 507,072.65, 699,732.51 and 277,585.55 is: 383,052.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,072.65 : 699,732.51 = 277,585.55 : x
  2. Step 2: Convert to fraction form
    507,072.65/699,732.51 = 277,585.55/x
  3. Step 3: Cross multiply
    507,072.65x = 699,732.51 × 277,585.55
  4. Step 4: Simplify right side
    507,072.65x = 194,235,633,641.23
  5. Step 5: Solve for x
    x = 194,235,633,641.23/507,072.65
  6. Step 6: Final answer
    x = 383,052.87

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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.