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Finding the Fourth Proportional to 219,384.98, 329,077.47 and 53,172.98

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Solution

The fourth proportional to 219,384.98, 329,077.47 and 53,172.98 is: 79,759.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,384.98 : 329,077.47 = 53,172.98 : x
  2. Step 2: Convert to fraction form
    219,384.98/329,077.47 = 53,172.98/x
  3. Step 3: Cross multiply
    219,384.98x = 329,077.47 × 53,172.98
  4. Step 4: Simplify right side
    219,384.98x = 17,498,027,819.51
  5. Step 5: Solve for x
    x = 17,498,027,819.51/219,384.98
  6. Step 6: Final answer
    x = 79,759.46

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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.