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Finding the Fourth Proportional to 468,257.78, 646,195.73 and 253,397.84

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Solution

The fourth proportional to 468,257.78, 646,195.73 and 253,397.84 is: 349,689.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,257.78 : 646,195.73 = 253,397.84 : x
  2. Step 2: Convert to fraction form
    468,257.78/646,195.73 = 253,397.84/x
  3. Step 3: Cross multiply
    468,257.78x = 646,195.73 × 253,397.84
  4. Step 4: Simplify right side
    468,257.78x = 163,744,597,701.26
  5. Step 5: Solve for x
    x = 163,744,597,701.26/468,257.78
  6. Step 6: Final answer
    x = 349,689.01

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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.