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Finding the Fourth Proportional to 470,714.80, 706,072.20 and 328,997.20

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Solution

The fourth proportional to 470,714.80, 706,072.20 and 328,997.20 is: 493,495.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,714.80 : 706,072.20 = 328,997.20 : x
  2. Step 2: Convert to fraction form
    470,714.80/706,072.20 = 328,997.20/x
  3. Step 3: Cross multiply
    470,714.80x = 706,072.20 × 328,997.20
  4. Step 4: Simplify right side
    470,714.80x = 232,295,776,797.84
  5. Step 5: Solve for x
    x = 232,295,776,797.84/470,714.80
  6. Step 6: Final answer
    x = 493,495.80

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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.