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Finding the Fourth Proportional to 285,084.35, 393,411.39 and 164,225.27

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Solution

The fourth proportional to 285,084.35, 393,411.39 and 164,225.27 is: 226,627.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,084.35 : 393,411.39 = 164,225.27 : x
  2. Step 2: Convert to fraction form
    285,084.35/393,411.39 = 164,225.27/x
  3. Step 3: Cross multiply
    285,084.35x = 393,411.39 × 164,225.27
  4. Step 4: Simplify right side
    285,084.35x = 64,608,091,743.83
  5. Step 5: Solve for x
    x = 64,608,091,743.83/285,084.35
  6. Step 6: Final answer
    x = 226,627.98

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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.