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Finding the Fourth Proportional to 283,051.42, 424,452.48 and 149,900.56

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Solution

The fourth proportional to 283,051.42, 424,452.48 and 149,900.56 is: 224,784.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,051.42 : 424,452.48 = 149,900.56 : x
  2. Step 2: Convert to fraction form
    283,051.42/424,452.48 = 149,900.56/x
  3. Step 3: Cross multiply
    283,051.42x = 424,452.48 × 149,900.56
  4. Step 4: Simplify right side
    283,051.42x = 63,625,664,445.39
  5. Step 5: Solve for x
    x = 63,625,664,445.39/283,051.42
  6. Step 6: Final answer
    x = 224,784.83

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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.