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Finding the Fourth Proportional to 219,628.80, 329,443.20 and 53,416.80

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Solution

The fourth proportional to 219,628.80, 329,443.20 and 53,416.80 is: 80,125.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,628.80 : 329,443.20 = 53,416.80 : x
  2. Step 2: Convert to fraction form
    219,628.80/329,443.20 = 53,416.80/x
  3. Step 3: Cross multiply
    219,628.80x = 329,443.20 × 53,416.80
  4. Step 4: Simplify right side
    219,628.80x = 17,597,801,525.76
  5. Step 5: Solve for x
    x = 17,597,801,525.76/219,628.80
  6. Step 6: Final answer
    x = 80,125.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.