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Finding the Fourth Proportional to 288,180.88, 397,676.52 and 160,853.68

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Solution

The fourth proportional to 288,180.88, 397,676.52 and 160,853.68 is: 221,970.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,180.88 : 397,676.52 = 160,853.68 : x
  2. Step 2: Convert to fraction form
    288,180.88/397,676.52 = 160,853.68/x
  3. Step 3: Cross multiply
    288,180.88x = 397,676.52 × 160,853.68
  4. Step 4: Simplify right side
    288,180.88x = 63,967,731,691.59
  5. Step 5: Solve for x
    x = 63,967,731,691.59/288,180.88
  6. Step 6: Final answer
    x = 221,970.77

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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.