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Finding the Fourth Proportional to 483,407.10, 725,110.65 and 411,867.90

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Solution

The fourth proportional to 483,407.10, 725,110.65 and 411,867.90 is: 617,801.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,407.10 : 725,110.65 = 411,867.90 : x
  2. Step 2: Convert to fraction form
    483,407.10/725,110.65 = 411,867.90/x
  3. Step 3: Cross multiply
    483,407.10x = 725,110.65 × 411,867.90
  4. Step 4: Simplify right side
    483,407.10x = 298,649,800,683.14
  5. Step 5: Solve for x
    x = 298,649,800,683.14/483,407.10
  6. Step 6: Final answer
    x = 617,801.85

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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.