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Finding the Fourth Proportional to 650,410.20, 975,906.90 and 295,241.40

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Solution

The fourth proportional to 650,410.20, 975,906.90 and 295,241.40 is: 442,994.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,410.20 : 975,906.90 = 295,241.40 : x
  2. Step 2: Convert to fraction form
    650,410.20/975,906.90 = 295,241.40/x
  3. Step 3: Cross multiply
    650,410.20x = 975,906.90 × 295,241.40
  4. Step 4: Simplify right side
    650,410.20x = 288,128,119,425.66
  5. Step 5: Solve for x
    x = 288,128,119,425.66/650,410.20
  6. Step 6: Final answer
    x = 442,994.47

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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.