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Finding the Fourth Proportional to 322,898.14, 484,084.77 and 112,683.70

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Solution

The fourth proportional to 322,898.14, 484,084.77 and 112,683.70 is: 168,933.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,898.14 : 484,084.77 = 112,683.70 : x
  2. Step 2: Convert to fraction form
    322,898.14/484,084.77 = 112,683.70/x
  3. Step 3: Cross multiply
    322,898.14x = 484,084.77 × 112,683.70
  4. Step 4: Simplify right side
    322,898.14x = 54,548,461,364.47
  5. Step 5: Solve for x
    x = 54,548,461,364.47/322,898.14
  6. Step 6: Final answer
    x = 168,933.96

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Why These Related Problems?

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