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Finding the Fourth Proportional to 285,384.16, 393,829.15 and 164,524.87

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Solution

The fourth proportional to 285,384.16, 393,829.15 and 164,524.87 is: 227,043.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,384.16 : 393,829.15 = 164,524.87 : x
  2. Step 2: Convert to fraction form
    285,384.16/393,829.15 = 164,524.87/x
  3. Step 3: Cross multiply
    285,384.16x = 393,829.15 × 164,524.87
  4. Step 4: Simplify right side
    285,384.16x = 64,794,688,310.08
  5. Step 5: Solve for x
    x = 64,794,688,310.08/285,384.16
  6. Step 6: Final answer
    x = 227,043.75

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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.