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Finding the Fourth Proportional to 500,833.26, 749,624.22 and 367,683.84

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Solution

The fourth proportional to 500,833.26, 749,624.22 and 367,683.84 is: 550,332.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,833.26 : 749,624.22 = 367,683.84 : x
  2. Step 2: Convert to fraction form
    500,833.26/749,624.22 = 367,683.84/x
  3. Step 3: Cross multiply
    500,833.26x = 749,624.22 × 367,683.84
  4. Step 4: Simplify right side
    500,833.26x = 275,624,711,766.61
  5. Step 5: Solve for x
    x = 275,624,711,766.61/500,833.26
  6. Step 6: Final answer
    x = 550,332.28

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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.