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Finding the Fourth Proportional to 299,673.48, 413,550.84 and 163,709.40

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Solution

The fourth proportional to 299,673.48, 413,550.84 and 163,709.40 is: 225,919.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,673.48 : 413,550.84 = 163,709.40 : x
  2. Step 2: Convert to fraction form
    299,673.48/413,550.84 = 163,709.40/x
  3. Step 3: Cross multiply
    299,673.48x = 413,550.84 × 163,709.40
  4. Step 4: Simplify right side
    299,673.48x = 67,702,159,885.90
  5. Step 5: Solve for x
    x = 67,702,159,885.90/299,673.48
  6. Step 6: Final answer
    x = 225,919.76

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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.