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Finding the Fourth Proportional to 402,817.80, 603,708.30 and 308,857.80

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Solution

The fourth proportional to 402,817.80, 603,708.30 and 308,857.80 is: 462,889.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,817.80 : 603,708.30 = 308,857.80 : x
  2. Step 2: Convert to fraction form
    402,817.80/603,708.30 = 308,857.80/x
  3. Step 3: Cross multiply
    402,817.80x = 603,708.30 × 308,857.80
  4. Step 4: Simplify right side
    402,817.80x = 186,460,017,379.74
  5. Step 5: Solve for x
    x = 186,460,017,379.74/402,817.80
  6. Step 6: Final answer
    x = 462,889.22

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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.