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Finding the Fourth Proportional to 389,858.40, 583,491.60 and 282,938.40

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Solution

The fourth proportional to 389,858.40, 583,491.60 and 282,938.40 is: 423,467.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,858.40 : 583,491.60 = 282,938.40 : x
  2. Step 2: Convert to fraction form
    389,858.40/583,491.60 = 282,938.40/x
  3. Step 3: Cross multiply
    389,858.40x = 583,491.60 × 282,938.40
  4. Step 4: Simplify right side
    389,858.40x = 165,092,179,717.44
  5. Step 5: Solve for x
    x = 165,092,179,717.44/389,858.40
  6. Step 6: Final answer
    x = 423,467.03

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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.