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Finding the Fourth Proportional to 546,385.50, 754,487.82 and 342,786.42

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Solution

The fourth proportional to 546,385.50, 754,487.82 and 342,786.42 is: 473,343.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,385.50 : 754,487.82 = 342,786.42 : x
  2. Step 2: Convert to fraction form
    546,385.50/754,487.82 = 342,786.42/x
  3. Step 3: Cross multiply
    546,385.50x = 754,487.82 × 342,786.42
  4. Step 4: Simplify right side
    546,385.50x = 258,628,178,751.40
  5. Step 5: Solve for x
    x = 258,628,178,751.40/546,385.50
  6. Step 6: Final answer
    x = 473,343.78

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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.