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Finding the Fourth Proportional to 512,070.73, 706,657.16 and 285,716.23

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Solution

The fourth proportional to 512,070.73, 706,657.16 and 285,716.23 is: 394,288.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,070.73 : 706,657.16 = 285,716.23 : x
  2. Step 2: Convert to fraction form
    512,070.73/706,657.16 = 285,716.23/x
  3. Step 3: Cross multiply
    512,070.73x = 706,657.16 × 285,716.23
  4. Step 4: Simplify right side
    512,070.73x = 201,903,418,605.35
  5. Step 5: Solve for x
    x = 201,903,418,605.35/512,070.73
  6. Step 6: Final answer
    x = 394,288.15

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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.