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Finding the Fourth Proportional to 217,909.84, 300,453.92 and 157,383.76

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Solution

The fourth proportional to 217,909.84, 300,453.92 and 157,383.76 is: 217,000.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,909.84 : 300,453.92 = 157,383.76 : x
  2. Step 2: Convert to fraction form
    217,909.84/300,453.92 = 157,383.76/x
  3. Step 3: Cross multiply
    217,909.84x = 300,453.92 × 157,383.76
  4. Step 4: Simplify right side
    217,909.84x = 47,286,567,636.34
  5. Step 5: Solve for x
    x = 47,286,567,636.34/217,909.84
  6. Step 6: Final answer
    x = 217,000.61

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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.