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Finding the Fourth Proportional to 363,400.80, 546,022.80 and 322,850.40

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Solution

The fourth proportional to 363,400.80, 546,022.80 and 322,850.40 is: 485,094.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,400.80 : 546,022.80 = 322,850.40 : x
  2. Step 2: Convert to fraction form
    363,400.80/546,022.80 = 322,850.40/x
  3. Step 3: Cross multiply
    363,400.80x = 546,022.80 × 322,850.40
  4. Step 4: Simplify right side
    363,400.80x = 176,283,679,389.12
  5. Step 5: Solve for x
    x = 176,283,679,389.12/363,400.80
  6. Step 6: Final answer
    x = 485,094.36

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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.