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Finding the Fourth Proportional to 527,674.24, 728,181.44 and 289,205.12

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Solution

The fourth proportional to 527,674.24, 728,181.44 and 289,205.12 is: 399,098.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,674.24 : 728,181.44 = 289,205.12 : x
  2. Step 2: Convert to fraction form
    527,674.24/728,181.44 = 289,205.12/x
  3. Step 3: Cross multiply
    527,674.24x = 728,181.44 × 289,205.12
  4. Step 4: Simplify right side
    527,674.24x = 210,593,800,736.97
  5. Step 5: Solve for x
    x = 210,593,800,736.97/527,674.24
  6. Step 6: Final answer
    x = 399,098.13

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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.