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Finding the Fourth Proportional to 333,941.70, 499,656.24 and 205,410.90

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Solution

The fourth proportional to 333,941.70, 499,656.24 and 205,410.90 is: 307,343.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,941.70 : 499,656.24 = 205,410.90 : x
  2. Step 2: Convert to fraction form
    333,941.70/499,656.24 = 205,410.90/x
  3. Step 3: Cross multiply
    333,941.70x = 499,656.24 × 205,410.90
  4. Step 4: Simplify right side
    333,941.70x = 102,634,837,949.02
  5. Step 5: Solve for x
    x = 102,634,837,949.02/333,941.70
  6. Step 6: Final answer
    x = 307,343.58

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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.