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Finding the Fourth Proportional to 471,286.40, 706,411.20 and 205,001.60

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Solution

The fourth proportional to 471,286.40, 706,411.20 and 205,001.60 is: 307,276.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,286.40 : 706,411.20 = 205,001.60 : x
  2. Step 2: Convert to fraction form
    471,286.40/706,411.20 = 205,001.60/x
  3. Step 3: Cross multiply
    471,286.40x = 706,411.20 × 205,001.60
  4. Step 4: Simplify right side
    471,286.40x = 144,815,426,257.92
  5. Step 5: Solve for x
    x = 144,815,426,257.92/471,286.40
  6. Step 6: Final answer
    x = 307,276.90

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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.