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Finding the Fourth Proportional to 470,151.90, 704,745.30 and 185,727.30

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Solution

The fourth proportional to 470,151.90, 704,745.30 and 185,727.30 is: 278,400.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,151.90 : 704,745.30 = 185,727.30 : x
  2. Step 2: Convert to fraction form
    470,151.90/704,745.30 = 185,727.30/x
  3. Step 3: Cross multiply
    470,151.90x = 704,745.30 × 185,727.30
  4. Step 4: Simplify right side
    470,151.90x = 130,890,441,756.69
  5. Step 5: Solve for x
    x = 130,890,441,756.69/470,151.90
  6. Step 6: Final answer
    x = 278,400.32

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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.