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Finding the Fourth Proportional to 458,042, 632,099.56 and 254,096.96

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Solution

The fourth proportional to 458,042, 632,099.56 and 254,096.96 is: 350,654.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,042 : 632,099.56 = 254,096.96 : x
  2. Step 2: Convert to fraction form
    458,042/632,099.56 = 254,096.96/x
  3. Step 3: Cross multiply
    458,042x = 632,099.56 × 254,096.96
  4. Step 4: Simplify right side
    458,042x = 160,614,576,613.34
  5. Step 5: Solve for x
    x = 160,614,576,613.34/458,042
  6. Step 6: Final answer
    x = 350,654.69

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1.5x scale

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.