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Finding the Fourth Proportional to 378,442.89, 567,454.95 and 150,507.68

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Solution

The fourth proportional to 378,442.89, 567,454.95 and 150,507.68 is: 225,678.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,442.89 : 567,454.95 = 150,507.68 : x
  2. Step 2: Convert to fraction form
    378,442.89/567,454.95 = 150,507.68/x
  3. Step 3: Cross multiply
    378,442.89x = 567,454.95 × 150,507.68
  4. Step 4: Simplify right side
    378,442.89x = 85,406,325,191.74
  5. Step 5: Solve for x
    x = 85,406,325,191.74/378,442.89
  6. Step 6: Final answer
    x = 225,678.24

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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.