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Finding the Fourth Proportional to 256,495.52, 353,780.24 and 180,031.68

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Solution

The fourth proportional to 256,495.52, 353,780.24 and 180,031.68 is: 248,314.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,495.52 : 353,780.24 = 180,031.68 : x
  2. Step 2: Convert to fraction form
    256,495.52/353,780.24 = 180,031.68/x
  3. Step 3: Cross multiply
    256,495.52x = 353,780.24 × 180,031.68
  4. Step 4: Simplify right side
    256,495.52x = 63,691,650,958.00
  5. Step 5: Solve for x
    x = 63,691,650,958.00/256,495.52
  6. Step 6: Final answer
    x = 248,314.87

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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.