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Finding the Fourth Proportional to 520,039.80, 780,405.30 and 295,399.80

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Solution

The fourth proportional to 520,039.80, 780,405.30 and 295,399.80 is: 443,296.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,039.80 : 780,405.30 = 295,399.80 : x
  2. Step 2: Convert to fraction form
    520,039.80/780,405.30 = 295,399.80/x
  3. Step 3: Cross multiply
    520,039.80x = 780,405.30 × 295,399.80
  4. Step 4: Simplify right side
    520,039.80x = 230,531,569,538.94
  5. Step 5: Solve for x
    x = 230,531,569,538.94/520,039.80
  6. Step 6: Final answer
    x = 443,296.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.