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Finding the Fourth Proportional to 384,941.40, 577,023.30 and 174,730.20

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Solution

The fourth proportional to 384,941.40, 577,023.30 and 174,730.20 is: 261,918.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,941.40 : 577,023.30 = 174,730.20 : x
  2. Step 2: Convert to fraction form
    384,941.40/577,023.30 = 174,730.20/x
  3. Step 3: Cross multiply
    384,941.40x = 577,023.30 × 174,730.20
  4. Step 4: Simplify right side
    384,941.40x = 100,823,396,613.66
  5. Step 5: Solve for x
    x = 100,823,396,613.66/384,941.40
  6. Step 6: Final answer
    x = 261,918.82

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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.