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Finding the Fourth Proportional to 257,733.04, 354,863.28 and 234,113.44

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Solution

The fourth proportional to 257,733.04, 354,863.28 and 234,113.44 is: 322,342.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,733.04 : 354,863.28 = 234,113.44 : x
  2. Step 2: Convert to fraction form
    257,733.04/354,863.28 = 234,113.44/x
  3. Step 3: Cross multiply
    257,733.04x = 354,863.28 × 234,113.44
  4. Step 4: Simplify right side
    257,733.04x = 83,078,263,210.48
  5. Step 5: Solve for x
    x = 83,078,263,210.48/257,733.04
  6. Step 6: Final answer
    x = 322,342.31

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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.