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Finding the Fourth Proportional to 288,046.62, 397,393.47 and 180,429.30

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Solution

The fourth proportional to 288,046.62, 397,393.47 and 180,429.30 is: 248,922.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,046.62 : 397,393.47 = 180,429.30 : x
  2. Step 2: Convert to fraction form
    288,046.62/397,393.47 = 180,429.30/x
  3. Step 3: Cross multiply
    288,046.62x = 397,393.47 × 180,429.30
  4. Step 4: Simplify right side
    288,046.62x = 71,701,425,616.67
  5. Step 5: Solve for x
    x = 71,701,425,616.67/288,046.62
  6. Step 6: Final answer
    x = 248,922.99

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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.