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Finding the Fourth Proportional to 256,529.38, 354,109.53 and 229,624.42

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Solution

The fourth proportional to 256,529.38, 354,109.53 and 229,624.42 is: 316,970.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,529.38 : 354,109.53 = 229,624.42 : x
  2. Step 2: Convert to fraction form
    256,529.38/354,109.53 = 229,624.42/x
  3. Step 3: Cross multiply
    256,529.38x = 354,109.53 × 229,624.42
  4. Step 4: Simplify right side
    256,529.38x = 81,312,195,442.72
  5. Step 5: Solve for x
    x = 81,312,195,442.72/256,529.38
  6. Step 6: Final answer
    x = 316,970.30

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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.