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Finding the Fourth Proportional to 397,810.34, 596,770.50 and 127,946.12

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Solution

The fourth proportional to 397,810.34, 596,770.50 and 127,946.12 is: 191,936.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,810.34 : 596,770.50 = 127,946.12 : x
  2. Step 2: Convert to fraction form
    397,810.34/596,770.50 = 127,946.12/x
  3. Step 3: Cross multiply
    397,810.34x = 596,770.50 × 127,946.12
  4. Step 4: Simplify right side
    397,810.34x = 76,354,467,501.41
  5. Step 5: Solve for x
    x = 76,354,467,501.41/397,810.34
  6. Step 6: Final answer
    x = 191,936.86

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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.