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Finding the Fourth Proportional to 470,874.88, 706,756.20 and 171,644.68

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Solution

The fourth proportional to 470,874.88, 706,756.20 and 171,644.68 is: 257,628.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,874.88 : 706,756.20 = 171,644.68 : x
  2. Step 2: Convert to fraction form
    470,874.88/706,756.20 = 171,644.68/x
  3. Step 3: Cross multiply
    470,874.88x = 706,756.20 × 171,644.68
  4. Step 4: Simplify right side
    470,874.88x = 121,310,941,787.02
  5. Step 5: Solve for x
    x = 121,310,941,787.02/470,874.88
  6. Step 6: Final answer
    x = 257,628.82

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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.