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Finding the Fourth Proportional to 463,060.20, 694,590.30 and 167,533.80

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Solution

The fourth proportional to 463,060.20, 694,590.30 and 167,533.80 is: 251,300.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,060.20 : 694,590.30 = 167,533.80 : x
  2. Step 2: Convert to fraction form
    463,060.20/694,590.30 = 167,533.80/x
  3. Step 3: Cross multiply
    463,060.20x = 694,590.30 × 167,533.80
  4. Step 4: Simplify right side
    463,060.20x = 116,367,352,402.14
  5. Step 5: Solve for x
    x = 116,367,352,402.14/463,060.20
  6. Step 6: Final answer
    x = 251,300.70

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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.