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Finding the Fourth Proportional to 393,487.50, 543,012.75 and 214,639.50

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Solution

The fourth proportional to 393,487.50, 543,012.75 and 214,639.50 is: 296,202.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,487.50 : 543,012.75 = 214,639.50 : x
  2. Step 2: Convert to fraction form
    393,487.50/543,012.75 = 214,639.50/x
  3. Step 3: Cross multiply
    393,487.50x = 543,012.75 × 214,639.50
  4. Step 4: Simplify right side
    393,487.50x = 116,551,985,153.63
  5. Step 5: Solve for x
    x = 116,551,985,153.63/393,487.50
  6. Step 6: Final answer
    x = 296,202.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.