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Finding the Fourth Proportional to 470,455.38, 704,994.15 and 233,324.46

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Solution

The fourth proportional to 470,455.38, 704,994.15 and 233,324.46 is: 349,645.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,455.38 : 704,994.15 = 233,324.46 : x
  2. Step 2: Convert to fraction form
    470,455.38/704,994.15 = 233,324.46/x
  3. Step 3: Cross multiply
    470,455.38x = 704,994.15 × 233,324.46
  4. Step 4: Simplify right side
    470,455.38x = 164,492,379,351.91
  5. Step 5: Solve for x
    x = 164,492,379,351.91/470,455.38
  6. Step 6: Final answer
    x = 349,645.02

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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.