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Finding the Fourth Proportional to 500,141.72, 690,517.56 and 446,334.32

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Solution

The fourth proportional to 500,141.72, 690,517.56 and 446,334.32 is: 616,228.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,141.72 : 690,517.56 = 446,334.32 : x
  2. Step 2: Convert to fraction form
    500,141.72/690,517.56 = 446,334.32/x
  3. Step 3: Cross multiply
    500,141.72x = 690,517.56 × 446,334.32
  4. Step 4: Simplify right side
    500,141.72x = 308,201,685,590.66
  5. Step 5: Solve for x
    x = 308,201,685,590.66/500,141.72
  6. Step 6: Final answer
    x = 616,228.71

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1.5x scale

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.