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Finding the Fourth Proportional to 256,352.52, 384,527.56 and 142,446.68

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Solution

The fourth proportional to 256,352.52, 384,527.56 and 142,446.68 is: 213,669.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,352.52 : 384,527.56 = 142,446.68 : x
  2. Step 2: Convert to fraction form
    256,352.52/384,527.56 = 142,446.68/x
  3. Step 3: Cross multiply
    256,352.52x = 384,527.56 × 142,446.68
  4. Step 4: Simplify right side
    256,352.52x = 54,774,674,290.50
  5. Step 5: Solve for x
    x = 54,774,674,290.50/256,352.52
  6. Step 6: Final answer
    x = 213,669.34

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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.