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Finding the Fourth Proportional to 515,519.64, 711,421.53 and 286,092.41

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Solution

The fourth proportional to 515,519.64, 711,421.53 and 286,092.41 is: 394,809.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,519.64 : 711,421.53 = 286,092.41 : x
  2. Step 2: Convert to fraction form
    515,519.64/711,421.53 = 286,092.41/x
  3. Step 3: Cross multiply
    515,519.64x = 711,421.53 × 286,092.41
  4. Step 4: Simplify right side
    515,519.64x = 203,532,297,022.90
  5. Step 5: Solve for x
    x = 203,532,297,022.90/515,519.64
  6. Step 6: Final answer
    x = 394,809.98

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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.