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Finding the Fourth Proportional to 468,257.34, 646,195.14 and 253,397.41

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Solution

The fourth proportional to 468,257.34, 646,195.14 and 253,397.41 is: 349,688.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,257.34 : 646,195.14 = 253,397.41 : x
  2. Step 2: Convert to fraction form
    468,257.34/646,195.14 = 253,397.41/x
  3. Step 3: Cross multiply
    468,257.34x = 646,195.14 × 253,397.41
  4. Step 4: Simplify right side
    468,257.34x = 163,744,173,215.10
  5. Step 5: Solve for x
    x = 163,744,173,215.10/468,257.34
  6. Step 6: Final answer
    x = 349,688.43

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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.