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Finding the Fourth Proportional to 460,213.60, 689,672.40 and 365,605.60

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Solution

The fourth proportional to 460,213.60, 689,672.40 and 365,605.60 is: 547,893.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,213.60 : 689,672.40 = 365,605.60 : x
  2. Step 2: Convert to fraction form
    460,213.60/689,672.40 = 365,605.60/x
  3. Step 3: Cross multiply
    460,213.60x = 689,672.40 × 365,605.60
  4. Step 4: Simplify right side
    460,213.60x = 252,148,091,605.44
  5. Step 5: Solve for x
    x = 252,148,091,605.44/460,213.60
  6. Step 6: Final answer
    x = 547,893.61

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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.