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Finding the Fourth Proportional to 419,150.46, 577,325.76 and 322,168.86

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Solution

The fourth proportional to 419,150.46, 577,325.76 and 322,168.86 is: 443,746.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,150.46 : 577,325.76 = 322,168.86 : x
  2. Step 2: Convert to fraction form
    419,150.46/577,325.76 = 322,168.86/x
  3. Step 3: Cross multiply
    419,150.46x = 577,325.76 × 322,168.86
  4. Step 4: Simplify right side
    419,150.46x = 185,996,381,947.83
  5. Step 5: Solve for x
    x = 185,996,381,947.83/419,150.46
  6. Step 6: Final answer
    x = 443,746.10

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