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Finding the Fourth Proportional to 256,584.48, 354,080.47 and 143,417.76

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Solution

The fourth proportional to 256,584.48, 354,080.47 and 143,417.76 is: 197,913.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,584.48 : 354,080.47 = 143,417.76 : x
  2. Step 2: Convert to fraction form
    256,584.48/354,080.47 = 143,417.76/x
  3. Step 3: Cross multiply
    256,584.48x = 354,080.47 × 143,417.76
  4. Step 4: Simplify right side
    256,584.48x = 50,781,427,150.06
  5. Step 5: Solve for x
    x = 50,781,427,150.06/256,584.48
  6. Step 6: Final answer
    x = 197,913.09

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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.