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Finding the Fourth Proportional to 468,644.13, 646,729.25 and 253,784.43

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Solution

The fourth proportional to 468,644.13, 646,729.25 and 253,784.43 is: 350,222.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,644.13 : 646,729.25 = 253,784.43 : x
  2. Step 2: Convert to fraction form
    468,644.13/646,729.25 = 253,784.43/x
  3. Step 3: Cross multiply
    468,644.13x = 646,729.25 × 253,784.43
  4. Step 4: Simplify right side
    468,644.13x = 164,129,812,806.66
  5. Step 5: Solve for x
    x = 164,129,812,806.66/468,644.13
  6. Step 6: Final answer
    x = 350,222.70

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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.