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Finding the Fourth Proportional to 256,054, 353,520.94 and 229,150.24

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Solution

The fourth proportional to 256,054, 353,520.94 and 229,150.24 is: 316,376.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,054 : 353,520.94 = 229,150.24 : x
  2. Step 2: Convert to fraction form
    256,054/353,520.94 = 229,150.24/x
  3. Step 3: Cross multiply
    256,054x = 353,520.94 × 229,150.24
  4. Step 4: Simplify right side
    256,054x = 81,009,408,246.03
  5. Step 5: Solve for x
    x = 81,009,408,246.03/256,054
  6. Step 6: Final answer
    x = 316,376.27

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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.