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Finding the Fourth Proportional to 403,780.80, 605,152.80 and 309,820.80

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Solution

The fourth proportional to 403,780.80, 605,152.80 and 309,820.80 is: 464,333.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,780.80 : 605,152.80 = 309,820.80 : x
  2. Step 2: Convert to fraction form
    403,780.80/605,152.80 = 309,820.80/x
  3. Step 3: Cross multiply
    403,780.80x = 605,152.80 × 309,820.80
  4. Step 4: Simplify right side
    403,780.80x = 187,488,924,618.24
  5. Step 5: Solve for x
    x = 187,488,924,618.24/403,780.80
  6. Step 6: Final answer
    x = 464,333.43

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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.