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Finding the Fourth Proportional to 422,164.35, 582,689.31 and 260,922.30

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Solution

The fourth proportional to 422,164.35, 582,689.31 and 260,922.30 is: 360,136.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,164.35 : 582,689.31 = 260,922.30 : x
  2. Step 2: Convert to fraction form
    422,164.35/582,689.31 = 260,922.30/x
  3. Step 3: Cross multiply
    422,164.35x = 582,689.31 × 260,922.30
  4. Step 4: Simplify right side
    422,164.35x = 152,036,634,950.61
  5. Step 5: Solve for x
    x = 152,036,634,950.61/422,164.35
  6. Step 6: Final answer
    x = 360,136.13

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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.