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Finding the Fourth Proportional to 389,729.80, 584,594.70 and 296,417.80

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Solution

The fourth proportional to 389,729.80, 584,594.70 and 296,417.80 is: 444,626.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,729.80 : 584,594.70 = 296,417.80 : x
  2. Step 2: Convert to fraction form
    389,729.80/584,594.70 = 296,417.80/x
  3. Step 3: Cross multiply
    389,729.80x = 584,594.70 × 296,417.80
  4. Step 4: Simplify right side
    389,729.80x = 173,284,274,865.66
  5. Step 5: Solve for x
    x = 173,284,274,865.66/389,729.80
  6. Step 6: Final answer
    x = 444,626.70

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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.