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Finding the Fourth Proportional to 419,152.46, 577,328.52 and 322,170.86

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Solution

The fourth proportional to 419,152.46, 577,328.52 and 322,170.86 is: 443,748.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,152.46 : 577,328.52 = 322,170.86 : x
  2. Step 2: Convert to fraction form
    419,152.46/577,328.52 = 322,170.86/x
  3. Step 3: Cross multiply
    419,152.46x = 577,328.52 × 322,170.86
  4. Step 4: Simplify right side
    419,152.46x = 185,998,425,790.93
  5. Step 5: Solve for x
    x = 185,998,425,790.93/419,152.46
  6. Step 6: Final answer
    x = 443,748.86

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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.