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Finding the Fourth Proportional to 488,175.40, 732,695.10 and 288,245.80

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Solution

The fourth proportional to 488,175.40, 732,695.10 and 288,245.80 is: 432,623.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,175.40 : 732,695.10 = 288,245.80 : x
  2. Step 2: Convert to fraction form
    488,175.40/732,695.10 = 288,245.80/x
  3. Step 3: Cross multiply
    488,175.40x = 732,695.10 × 288,245.80
  4. Step 4: Simplify right side
    488,175.40x = 211,196,285,255.58
  5. Step 5: Solve for x
    x = 211,196,285,255.58/488,175.40
  6. Step 6: Final answer
    x = 432,623.78

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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.