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Finding the Fourth Proportional to 389,737.60, 584,606.40 and 284,761.60

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Solution

The fourth proportional to 389,737.60, 584,606.40 and 284,761.60 is: 427,142.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,737.60 : 584,606.40 = 284,761.60 : x
  2. Step 2: Convert to fraction form
    389,737.60/584,606.40 = 284,761.60/x
  3. Step 3: Cross multiply
    389,737.60x = 584,606.40 × 284,761.60
  4. Step 4: Simplify right side
    389,737.60x = 166,473,453,834.24
  5. Step 5: Solve for x
    x = 166,473,453,834.24/389,737.60
  6. Step 6: Final answer
    x = 427,142.40

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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.