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Finding the Fourth Proportional to 389,894.80, 584,842.20 and 256,925.20

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Solution

The fourth proportional to 389,894.80, 584,842.20 and 256,925.20 is: 385,387.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,894.80 : 584,842.20 = 256,925.20 : x
  2. Step 2: Convert to fraction form
    389,894.80/584,842.20 = 256,925.20/x
  3. Step 3: Cross multiply
    389,894.80x = 584,842.20 × 256,925.20
  4. Step 4: Simplify right side
    389,894.80x = 150,260,699,203.44
  5. Step 5: Solve for x
    x = 150,260,699,203.44/389,894.80
  6. Step 6: Final answer
    x = 385,387.80

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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.