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Finding the Fourth Proportional to 527,839.92, 728,416.44 and 286,121.52

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Solution

The fourth proportional to 527,839.92, 728,416.44 and 286,121.52 is: 394,846.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,839.92 : 728,416.44 = 286,121.52 : x
  2. Step 2: Convert to fraction form
    527,839.92/728,416.44 = 286,121.52/x
  3. Step 3: Cross multiply
    527,839.92x = 728,416.44 × 286,121.52
  4. Step 4: Simplify right side
    527,839.92x = 208,415,619,005.79
  5. Step 5: Solve for x
    x = 208,415,619,005.79/527,839.92
  6. Step 6: Final answer
    x = 394,846.26

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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.