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Finding the Fourth Proportional to 256,468.48, 354,025.28 and 229,563.52

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Solution

The fourth proportional to 256,468.48, 354,025.28 and 229,563.52 is: 316,886.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,468.48 : 354,025.28 = 229,563.52 : x
  2. Step 2: Convert to fraction form
    256,468.48/354,025.28 = 229,563.52/x
  3. Step 3: Cross multiply
    256,468.48x = 354,025.28 × 229,563.52
  4. Step 4: Simplify right side
    256,468.48x = 81,271,289,445.79
  5. Step 5: Solve for x
    x = 81,271,289,445.79/256,468.48
  6. Step 6: Final answer
    x = 316,886.07

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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.