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Finding the Fourth Proportional to 285,772.84, 428,628.90 and 117,310.84

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Solution

The fourth proportional to 285,772.84, 428,628.90 and 117,310.84 is: 175,953.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,772.84 : 428,628.90 = 117,310.84 : x
  2. Step 2: Convert to fraction form
    285,772.84/428,628.90 = 117,310.84/x
  3. Step 3: Cross multiply
    285,772.84x = 428,628.90 × 117,310.84
  4. Step 4: Simplify right side
    285,772.84x = 50,282,816,307.28
  5. Step 5: Solve for x
    x = 50,282,816,307.28/285,772.84
  6. Step 6: Final answer
    x = 175,953.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.