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Finding the Fourth Proportional to 468,644.38, 646,729.59 and 253,784.68

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Solution

The fourth proportional to 468,644.38, 646,729.59 and 253,784.68 is: 350,223.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,644.38 : 646,729.59 = 253,784.68 : x
  2. Step 2: Convert to fraction form
    468,644.38/646,729.59 = 253,784.68/x
  3. Step 3: Cross multiply
    468,644.38x = 646,729.59 × 253,784.68
  4. Step 4: Simplify right side
    468,644.38x = 164,130,062,044.68
  5. Step 5: Solve for x
    x = 164,130,062,044.68/468,644.38
  6. Step 6: Final answer
    x = 350,223.05

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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.