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Finding the Fourth Proportional to 313,951.68, 433,258.74 and 170,712.60

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Solution

The fourth proportional to 313,951.68, 433,258.74 and 170,712.60 is: 235,586.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,951.68 : 433,258.74 = 170,712.60 : x
  2. Step 2: Convert to fraction form
    313,951.68/433,258.74 = 170,712.60/x
  3. Step 3: Cross multiply
    313,951.68x = 433,258.74 × 170,712.60
  4. Step 4: Simplify right side
    313,951.68x = 73,962,725,978.12
  5. Step 5: Solve for x
    x = 73,962,725,978.12/313,951.68
  6. Step 6: Final answer
    x = 235,586.34

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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.