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Finding the Fourth Proportional to 471,545.90, 649,493.72 and 362,441.58

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Solution

The fourth proportional to 471,545.90, 649,493.72 and 362,441.58 is: 499,216.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,545.90 : 649,493.72 = 362,441.58 : x
  2. Step 2: Convert to fraction form
    471,545.90/649,493.72 = 362,441.58/x
  3. Step 3: Cross multiply
    471,545.90x = 649,493.72 × 362,441.58
  4. Step 4: Simplify right side
    471,545.90x = 235,403,530,076.88
  5. Step 5: Solve for x
    x = 235,403,530,076.88/471,545.90
  6. Step 6: Final answer
    x = 499,216.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.