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Finding the Fourth Proportional to 289,536.88, 399,568.80 and 162,209.76

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Solution

The fourth proportional to 289,536.88, 399,568.80 and 162,209.76 is: 223,853.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,536.88 : 399,568.80 = 162,209.76 : x
  2. Step 2: Convert to fraction form
    289,536.88/399,568.80 = 162,209.76/x
  3. Step 3: Cross multiply
    289,536.88x = 399,568.80 × 162,209.76
  4. Step 4: Simplify right side
    289,536.88x = 64,813,959,151.49
  5. Step 5: Solve for x
    x = 64,813,959,151.49/289,536.88
  6. Step 6: Final answer
    x = 223,853.90

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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.