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Finding the Fourth Proportional to 415,230.50, 573,005.24 and 233,928.20

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Solution

The fourth proportional to 415,230.50, 573,005.24 and 233,928.20 is: 322,813.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,230.50 : 573,005.24 = 233,928.20 : x
  2. Step 2: Convert to fraction form
    415,230.50/573,005.24 = 233,928.20/x
  3. Step 3: Cross multiply
    415,230.50x = 573,005.24 × 233,928.20
  4. Step 4: Simplify right side
    415,230.50x = 134,042,085,523.87
  5. Step 5: Solve for x
    x = 134,042,085,523.87/415,230.50
  6. Step 6: Final answer
    x = 322,813.68

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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.