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Finding the Fourth Proportional to 424,538.48, 585,619.80 and 265,286

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Solution

The fourth proportional to 424,538.48, 585,619.80 and 265,286 is: 365,942.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,538.48 : 585,619.80 = 265,286 : x
  2. Step 2: Convert to fraction form
    424,538.48/585,619.80 = 265,286/x
  3. Step 3: Cross multiply
    424,538.48x = 585,619.80 × 265,286
  4. Step 4: Simplify right side
    424,538.48x = 155,356,734,262.80
  5. Step 5: Solve for x
    x = 155,356,734,262.80/424,538.48
  6. Step 6: Final answer
    x = 365,942.64

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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.