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Finding the Fourth Proportional to 468,538.59, 646,583.67 and 253,678.80

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Solution

The fourth proportional to 468,538.59, 646,583.67 and 253,678.80 is: 350,076.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,538.59 : 646,583.67 = 253,678.80 : x
  2. Step 2: Convert to fraction form
    468,538.59/646,583.67 = 253,678.80/x
  3. Step 3: Cross multiply
    468,538.59x = 646,583.67 × 253,678.80
  4. Step 4: Simplify right side
    468,538.59x = 164,024,569,505.20
  5. Step 5: Solve for x
    x = 164,024,569,505.20/468,538.59
  6. Step 6: Final answer
    x = 350,076.97

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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.