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Finding the Fourth Proportional to 365,295, 504,071.76 and 229,285.44

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Solution

The fourth proportional to 365,295, 504,071.76 and 229,285.44 is: 316,391.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,295 : 504,071.76 = 229,285.44 : x
  2. Step 2: Convert to fraction form
    365,295/504,071.76 = 229,285.44/x
  3. Step 3: Cross multiply
    365,295x = 504,071.76 × 229,285.44
  4. Step 4: Simplify right side
    365,295x = 115,576,315,283.17
  5. Step 5: Solve for x
    x = 115,576,315,283.17/365,295
  6. Step 6: Final answer
    x = 316,391.73

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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.