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Finding the Fourth Proportional to 601,912.98, 830,630.48 and 329,983.11

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Solution

The fourth proportional to 601,912.98, 830,630.48 and 329,983.11 is: 455,371.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,912.98 : 830,630.48 = 329,983.11 : x
  2. Step 2: Convert to fraction form
    601,912.98/830,630.48 = 329,983.11/x
  3. Step 3: Cross multiply
    601,912.98x = 830,630.48 × 329,983.11
  4. Step 4: Simplify right side
    601,912.98x = 274,094,031,817.62
  5. Step 5: Solve for x
    x = 274,094,031,817.62/601,912.98
  6. Step 6: Final answer
    x = 455,371.52

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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.