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Finding the Fourth Proportional to 365,287, 504,060.69 and 229,277.47

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Solution

The fourth proportional to 365,287, 504,060.69 and 229,277.47 is: 316,380.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,287 : 504,060.69 = 229,277.47 : x
  2. Step 2: Convert to fraction form
    365,287/504,060.69 = 229,277.47/x
  3. Step 3: Cross multiply
    365,287x = 504,060.69 × 229,277.47
  4. Step 4: Simplify right side
    365,287x = 115,569,759,729.65
  5. Step 5: Solve for x
    x = 115,569,759,729.65/365,287
  6. Step 6: Final answer
    x = 316,380.71

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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.