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Finding the Fourth Proportional to 257,364.80, 386,392.80 and 164,283.20

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Solution

The fourth proportional to 257,364.80, 386,392.80 and 164,283.20 is: 246,645.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,364.80 : 386,392.80 = 164,283.20 : x
  2. Step 2: Convert to fraction form
    257,364.80/386,392.80 = 164,283.20/x
  3. Step 3: Cross multiply
    257,364.80x = 386,392.80 × 164,283.20
  4. Step 4: Simplify right side
    257,364.80x = 63,477,845,640.96
  5. Step 5: Solve for x
    x = 63,477,845,640.96/257,364.80
  6. Step 6: Final answer
    x = 246,645.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.