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Finding the Fourth Proportional to 378,051.40, 567,125.70 and 188,608.60

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Solution

The fourth proportional to 378,051.40, 567,125.70 and 188,608.60 is: 282,937.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,051.40 : 567,125.70 = 188,608.60 : x
  2. Step 2: Convert to fraction form
    378,051.40/567,125.70 = 188,608.60/x
  3. Step 3: Cross multiply
    378,051.40x = 567,125.70 × 188,608.60
  4. Step 4: Simplify right side
    378,051.40x = 106,964,784,301.02
  5. Step 5: Solve for x
    x = 106,964,784,301.02/378,051.40
  6. Step 6: Final answer
    x = 282,937.15

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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.