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Finding the Fourth Proportional to 323,655.20, 484,964.40 and 205,114.40

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Solution

The fourth proportional to 323,655.20, 484,964.40 and 205,114.40 is: 307,343.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,655.20 : 484,964.40 = 205,114.40 : x
  2. Step 2: Convert to fraction form
    323,655.20/484,964.40 = 205,114.40/x
  3. Step 3: Cross multiply
    323,655.20x = 484,964.40 × 205,114.40
  4. Step 4: Simplify right side
    323,655.20x = 99,473,181,927.36
  5. Step 5: Solve for x
    x = 99,473,181,927.36/323,655.20
  6. Step 6: Final answer
    x = 307,343.07

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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.