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Finding the Fourth Proportional to 468,558.16, 646,609.28 and 253,698.40

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Solution

The fourth proportional to 468,558.16, 646,609.28 and 253,698.40 is: 350,103.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,558.16 : 646,609.28 = 253,698.40 : x
  2. Step 2: Convert to fraction form
    468,558.16/646,609.28 = 253,698.40/x
  3. Step 3: Cross multiply
    468,558.16x = 646,609.28 × 253,698.40
  4. Step 4: Simplify right side
    468,558.16x = 164,043,739,761.15
  5. Step 5: Solve for x
    x = 164,043,739,761.15/468,558.16
  6. Step 6: Final answer
    x = 350,103.26

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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.