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Finding the Fourth Proportional to 273,283, 410,136.18 and 189,630.52

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Solution

The fourth proportional to 273,283, 410,136.18 and 189,630.52 is: 284,592.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,283 : 410,136.18 = 189,630.52 : x
  2. Step 2: Convert to fraction form
    273,283/410,136.18 = 189,630.52/x
  3. Step 3: Cross multiply
    273,283x = 410,136.18 × 189,630.52
  4. Step 4: Simplify right side
    273,283x = 77,774,337,084.21
  5. Step 5: Solve for x
    x = 77,774,337,084.21/273,283
  6. Step 6: Final answer
    x = 284,592.66

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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.