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Finding the Fourth Proportional to 518,600.29, 776,862.83 and 412,163.86

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Solution

The fourth proportional to 518,600.29, 776,862.83 and 412,163.86 is: 617,421.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,600.29 : 776,862.83 = 412,163.86 : x
  2. Step 2: Convert to fraction form
    518,600.29/776,862.83 = 412,163.86/x
  3. Step 3: Cross multiply
    518,600.29x = 776,862.83 × 412,163.86
  4. Step 4: Simplify right side
    518,600.29x = 320,194,780,642.50
  5. Step 5: Solve for x
    x = 320,194,780,642.50/518,600.29
  6. Step 6: Final answer
    x = 617,421.14

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1.5x scale

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.