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Finding the Fourth Proportional to 519,903.40, 780,114.30 and 295,436.20

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Solution

The fourth proportional to 519,903.40, 780,114.30 and 295,436.20 is: 443,301.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,903.40 : 780,114.30 = 295,436.20 : x
  2. Step 2: Convert to fraction form
    519,903.40/780,114.30 = 295,436.20/x
  3. Step 3: Cross multiply
    519,903.40x = 780,114.30 × 295,436.20
  4. Step 4: Simplify right side
    519,903.40x = 230,474,004,357.66
  5. Step 5: Solve for x
    x = 230,474,004,357.66/519,903.40
  6. Step 6: Final answer
    x = 443,301.59

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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.