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Finding the Fourth Proportional to 521,683.68, 782,525.04 and 147,706.80

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Solution

The fourth proportional to 521,683.68, 782,525.04 and 147,706.80 is: 221,560.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,683.68 : 782,525.04 = 147,706.80 : x
  2. Step 2: Convert to fraction form
    521,683.68/782,525.04 = 147,706.80/x
  3. Step 3: Cross multiply
    521,683.68x = 782,525.04 × 147,706.80
  4. Step 4: Simplify right side
    521,683.68x = 115,584,269,578.27
  5. Step 5: Solve for x
    x = 115,584,269,578.27/521,683.68
  6. Step 6: Final answer
    x = 221,560.06

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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.