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Finding the Fourth Proportional to 256,597.76, 354,112.64 and 143,417.60

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Solution

The fourth proportional to 256,597.76, 354,112.64 and 143,417.60 is: 197,920.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,597.76 : 354,112.64 = 143,417.60 : x
  2. Step 2: Convert to fraction form
    256,597.76/354,112.64 = 143,417.60/x
  3. Step 3: Cross multiply
    256,597.76x = 354,112.64 × 143,417.60
  4. Step 4: Simplify right side
    256,597.76x = 50,785,984,958.46
  5. Step 5: Solve for x
    x = 50,785,984,958.46/256,597.76
  6. Step 6: Final answer
    x = 197,920.61

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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.