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Finding the Fourth Proportional to 520,320.80, 780,092.40 and 283,930.40

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Solution

The fourth proportional to 520,320.80, 780,092.40 and 283,930.40 is: 425,683.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,320.80 : 780,092.40 = 283,930.40 : x
  2. Step 2: Convert to fraction form
    520,320.80/780,092.40 = 283,930.40/x
  3. Step 3: Cross multiply
    520,320.80x = 780,092.40 × 283,930.40
  4. Step 4: Simplify right side
    520,320.80x = 221,491,947,168.96
  5. Step 5: Solve for x
    x = 221,491,947,168.96/520,320.80
  6. Step 6: Final answer
    x = 425,683.44

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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.