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Finding the Fourth Proportional to 507,079.81, 699,743.50 and 277,593.12

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Solution

The fourth proportional to 507,079.81, 699,743.50 and 277,593.12 is: 383,063.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,079.81 : 699,743.50 = 277,593.12 : x
  2. Step 2: Convert to fraction form
    507,079.81/699,743.50 = 277,593.12/x
  3. Step 3: Cross multiply
    507,079.81x = 699,743.50 × 277,593.12
  4. Step 4: Simplify right side
    507,079.81x = 194,243,977,172.02
  5. Step 5: Solve for x
    x = 194,243,977,172.02/507,079.81
  6. Step 6: Final answer
    x = 383,063.92

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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.