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Finding the Fourth Proportional to 415,186.56, 572,999.78 and 254,148.03

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Solution

The fourth proportional to 415,186.56, 572,999.78 and 254,148.03 is: 350,750.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,186.56 : 572,999.78 = 254,148.03 : x
  2. Step 2: Convert to fraction form
    415,186.56/572,999.78 = 254,148.03/x
  3. Step 3: Cross multiply
    415,186.56x = 572,999.78 × 254,148.03
  4. Step 4: Simplify right side
    415,186.56x = 145,626,764,006.69
  5. Step 5: Solve for x
    x = 145,626,764,006.69/415,186.56
  6. Step 6: Final answer
    x = 350,750.19

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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.