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Finding the Fourth Proportional to 402,496.30, 603,226.05 and 308,536.30

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Solution

The fourth proportional to 402,496.30, 603,226.05 and 308,536.30 is: 462,407.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,496.30 : 603,226.05 = 308,536.30 : x
  2. Step 2: Convert to fraction form
    402,496.30/603,226.05 = 308,536.30/x
  3. Step 3: Cross multiply
    402,496.30x = 603,226.05 × 308,536.30
  4. Step 4: Simplify right side
    402,496.30x = 186,117,133,530.62
  5. Step 5: Solve for x
    x = 186,117,133,530.62/402,496.30
  6. Step 6: Final answer
    x = 462,407.07

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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.