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Finding the Fourth Proportional to 499,461, 749,192.22 and 203,973

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Solution

The fourth proportional to 499,461, 749,192.22 and 203,973 is: 305,959.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,461 : 749,192.22 = 203,973 : x
  2. Step 2: Convert to fraction form
    499,461/749,192.22 = 203,973/x
  3. Step 3: Cross multiply
    499,461x = 749,192.22 × 203,973
  4. Step 4: Simplify right side
    499,461x = 152,814,984,690.06
  5. Step 5: Solve for x
    x = 152,814,984,690.06/499,461
  6. Step 6: Final answer
    x = 305,959.79

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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.