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Finding the Fourth Proportional to 512,350.60, 707,014.50 and 286,010.44

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Solution

The fourth proportional to 512,350.60, 707,014.50 and 286,010.44 is: 394,678.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,350.60 : 707,014.50 = 286,010.44 : x
  2. Step 2: Convert to fraction form
    512,350.60/707,014.50 = 286,010.44/x
  3. Step 3: Cross multiply
    512,350.60x = 707,014.50 × 286,010.44
  4. Step 4: Simplify right side
    512,350.60x = 202,213,528,231.38
  5. Step 5: Solve for x
    x = 202,213,528,231.38/512,350.60
  6. Step 6: Final answer
    x = 394,678.04

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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.