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Finding the Fourth Proportional to 389,447.80, 584,171.70 and 256,478.20

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Solution

The fourth proportional to 389,447.80, 584,171.70 and 256,478.20 is: 384,717.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,447.80 : 584,171.70 = 256,478.20 : x
  2. Step 2: Convert to fraction form
    389,447.80/584,171.70 = 256,478.20/x
  3. Step 3: Cross multiply
    389,447.80x = 584,171.70 × 256,478.20
  4. Step 4: Simplify right side
    389,447.80x = 149,827,306,106.94
  5. Step 5: Solve for x
    x = 149,827,306,106.94/389,447.80
  6. Step 6: Final answer
    x = 384,717.30

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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.