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Finding the Fourth Proportional to 415,072.10, 622,608.15 and 310,096.10

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Solution

The fourth proportional to 415,072.10, 622,608.15 and 310,096.10 is: 465,144.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,072.10 : 622,608.15 = 310,096.10 : x
  2. Step 2: Convert to fraction form
    415,072.10/622,608.15 = 310,096.10/x
  3. Step 3: Cross multiply
    415,072.10x = 622,608.15 × 310,096.10
  4. Step 4: Simplify right side
    415,072.10x = 193,068,359,143.22
  5. Step 5: Solve for x
    x = 193,068,359,143.22/415,072.10
  6. Step 6: Final answer
    x = 465,144.15

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1.5x scale

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.