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Finding the Fourth Proportional to 471,502.80, 650,687.78 and 333,927.85

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Solution

The fourth proportional to 471,502.80, 650,687.78 and 333,927.85 is: 460,830.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,502.80 : 650,687.78 = 333,927.85 : x
  2. Step 2: Convert to fraction form
    471,502.80/650,687.78 = 333,927.85/x
  3. Step 3: Cross multiply
    471,502.80x = 650,687.78 × 333,927.85
  4. Step 4: Simplify right side
    471,502.80x = 217,282,771,396.67
  5. Step 5: Solve for x
    x = 217,282,771,396.67/471,502.80
  6. Step 6: Final answer
    x = 460,830.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.