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Finding the Fourth Proportional to 256,512.30, 354,223.17 and 171,875.40

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Solution

The fourth proportional to 256,512.30, 354,223.17 and 171,875.40 is: 237,346.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,512.30 : 354,223.17 = 171,875.40 : x
  2. Step 2: Convert to fraction form
    256,512.30/354,223.17 = 171,875.40/x
  3. Step 3: Cross multiply
    256,512.30x = 354,223.17 × 171,875.40
  4. Step 4: Simplify right side
    256,512.30x = 60,882,249,033.02
  5. Step 5: Solve for x
    x = 60,882,249,033.02/256,512.30
  6. Step 6: Final answer
    x = 237,346.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.