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Finding the Fourth Proportional to 378,046.40, 567,069.60 and 359,675.60

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Solution

The fourth proportional to 378,046.40, 567,069.60 and 359,675.60 is: 539,513.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,046.40 : 567,069.60 = 359,675.60 : x
  2. Step 2: Convert to fraction form
    378,046.40/567,069.60 = 359,675.60/x
  3. Step 3: Cross multiply
    378,046.40x = 567,069.60 × 359,675.60
  4. Step 4: Simplify right side
    378,046.40x = 203,961,098,621.76
  5. Step 5: Solve for x
    x = 203,961,098,621.76/378,046.40
  6. Step 6: Final answer
    x = 539,513.40

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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.