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Finding the Fourth Proportional to 422,214.88, 582,657.44 and 228,624.72

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Solution

The fourth proportional to 422,214.88, 582,657.44 and 228,624.72 is: 315,502.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,214.88 : 582,657.44 = 228,624.72 : x
  2. Step 2: Convert to fraction form
    422,214.88/582,657.44 = 228,624.72/x
  3. Step 3: Cross multiply
    422,214.88x = 582,657.44 × 228,624.72
  4. Step 4: Simplify right side
    422,214.88x = 133,209,894,075.92
  5. Step 5: Solve for x
    x = 133,209,894,075.92/422,214.88
  6. Step 6: Final answer
    x = 315,502.60

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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.