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Finding the Fourth Proportional to 523,586.60, 722,506.92 and 294,131.42

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Solution

The fourth proportional to 523,586.60, 722,506.92 and 294,131.42 is: 405,877.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,586.60 : 722,506.92 = 294,131.42 : x
  2. Step 2: Convert to fraction form
    523,586.60/722,506.92 = 294,131.42/x
  3. Step 3: Cross multiply
    523,586.60x = 722,506.92 × 294,131.42
  4. Step 4: Simplify right side
    523,586.60x = 212,511,986,339.43
  5. Step 5: Solve for x
    x = 212,511,986,339.43/523,586.60
  6. Step 6: Final answer
    x = 405,877.44

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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.