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Finding the Fourth Proportional to 256,205.40, 384,365.70 and 150,970.20

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Solution

The fourth proportional to 256,205.40, 384,365.70 and 150,970.20 is: 226,489.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,205.40 : 384,365.70 = 150,970.20 : x
  2. Step 2: Convert to fraction form
    256,205.40/384,365.70 = 150,970.20/x
  3. Step 3: Cross multiply
    256,205.40x = 384,365.70 × 150,970.20
  4. Step 4: Simplify right side
    256,205.40x = 58,027,766,602.14
  5. Step 5: Solve for x
    x = 58,027,766,602.14/256,205.40
  6. Step 6: Final answer
    x = 226,489.24

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1.5x scale

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.