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Finding the Fourth Proportional to 283,097.58, 424,515.16 and 105,556.92

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Solution

The fourth proportional to 283,097.58, 424,515.16 and 105,556.92 is: 158,286.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,097.58 : 424,515.16 = 105,556.92 : x
  2. Step 2: Convert to fraction form
    283,097.58/424,515.16 = 105,556.92/x
  3. Step 3: Cross multiply
    283,097.58x = 424,515.16 × 105,556.92
  4. Step 4: Simplify right side
    283,097.58x = 44,810,514,311.01
  5. Step 5: Solve for x
    x = 44,810,514,311.01/283,097.58
  6. Step 6: Final answer
    x = 158,286.46

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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.