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Finding the Fourth Proportional to 468,708.02, 646,813.84 and 253,843.16

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Solution

The fourth proportional to 468,708.02, 646,813.84 and 253,843.16 is: 350,301.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,708.02 : 646,813.84 = 253,843.16 : x
  2. Step 2: Convert to fraction form
    468,708.02/646,813.84 = 253,843.16/x
  3. Step 3: Cross multiply
    468,708.02x = 646,813.84 × 253,843.16
  4. Step 4: Simplify right side
    468,708.02x = 164,189,267,808.12
  5. Step 5: Solve for x
    x = 164,189,267,808.12/468,708.02
  6. Step 6: Final answer
    x = 350,301.81

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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.