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Finding the Fourth Proportional to 378,438.30, 567,657.45 and 360,006.30

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Solution

The fourth proportional to 378,438.30, 567,657.45 and 360,006.30 is: 540,009.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,438.30 : 567,657.45 = 360,006.30 : x
  2. Step 2: Convert to fraction form
    378,438.30/567,657.45 = 360,006.30/x
  3. Step 3: Cross multiply
    378,438.30x = 567,657.45 × 360,006.30
  4. Step 4: Simplify right side
    378,438.30x = 204,360,258,241.94
  5. Step 5: Solve for x
    x = 204,360,258,241.94/378,438.30
  6. Step 6: Final answer
    x = 540,009.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.