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Finding the Fourth Proportional to 470,230.28, 704,862.86 and 185,805.66

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Solution

The fourth proportional to 470,230.28, 704,862.86 and 185,805.66 is: 278,517.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,230.28 : 704,862.86 = 185,805.66 : x
  2. Step 2: Convert to fraction form
    470,230.28/704,862.86 = 185,805.66/x
  3. Step 3: Cross multiply
    470,230.28x = 704,862.86 × 185,805.66
  4. Step 4: Simplify right side
    470,230.28x = 130,967,507,982.76
  5. Step 5: Solve for x
    x = 130,967,507,982.76/470,230.28
  6. Step 6: Final answer
    x = 278,517.81

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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.