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Finding the Fourth Proportional to 507,034.95, 699,708.33 and 277,606.80

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Solution

The fourth proportional to 507,034.95, 699,708.33 and 277,606.80 is: 383,097.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,034.95 : 699,708.33 = 277,606.80 : x
  2. Step 2: Convert to fraction form
    507,034.95/699,708.33 = 277,606.80/x
  3. Step 3: Cross multiply
    507,034.95x = 699,708.33 × 277,606.80
  4. Step 4: Simplify right side
    507,034.95x = 194,243,790,424.64
  5. Step 5: Solve for x
    x = 194,243,790,424.64/507,034.95
  6. Step 6: Final answer
    x = 383,097.44

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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.