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Finding the Fourth Proportional to 393,606.24, 543,182.88 and 214,758.24

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Solution

The fourth proportional to 393,606.24, 543,182.88 and 214,758.24 is: 296,369.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,606.24 : 543,182.88 = 214,758.24 : x
  2. Step 2: Convert to fraction form
    393,606.24/543,182.88 = 214,758.24/x
  3. Step 3: Cross multiply
    393,606.24x = 543,182.88 × 214,758.24
  4. Step 4: Simplify right side
    393,606.24x = 116,652,999,306.93
  5. Step 5: Solve for x
    x = 116,652,999,306.93/393,606.24
  6. Step 6: Final answer
    x = 296,369.79

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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.