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Finding the Fourth Proportional to 594,241.76, 891,634.80 and 257,385.44

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Solution

The fourth proportional to 594,241.76, 891,634.80 and 257,385.44 is: 386,196.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,241.76 : 891,634.80 = 257,385.44 : x
  2. Step 2: Convert to fraction form
    594,241.76/891,634.80 = 257,385.44/x
  3. Step 3: Cross multiply
    594,241.76x = 891,634.80 × 257,385.44
  4. Step 4: Simplify right side
    594,241.76x = 229,493,815,317.31
  5. Step 5: Solve for x
    x = 229,493,815,317.31/594,241.76
  6. Step 6: Final answer
    x = 386,196.04

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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.