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Finding the Fourth Proportional to 256,907.58, 354,414.15 and 166,292.70

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Solution

The fourth proportional to 256,907.58, 354,414.15 and 166,292.70 is: 229,407.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,907.58 : 354,414.15 = 166,292.70 : x
  2. Step 2: Convert to fraction form
    256,907.58/354,414.15 = 166,292.70/x
  3. Step 3: Cross multiply
    256,907.58x = 354,414.15 × 166,292.70
  4. Step 4: Simplify right side
    256,907.58x = 58,936,485,921.71
  5. Step 5: Solve for x
    x = 58,936,485,921.71/256,907.58
  6. Step 6: Final answer
    x = 229,407.35

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1.5x scale

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.