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Finding the Fourth Proportional to 277,739.20, 415,952.70 and 188,509.60

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Solution

The fourth proportional to 277,739.20, 415,952.70 and 188,509.60 is: 282,319.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,739.20 : 415,952.70 = 188,509.60 : x
  2. Step 2: Convert to fraction form
    277,739.20/415,952.70 = 188,509.60/x
  3. Step 3: Cross multiply
    277,739.20x = 415,952.70 × 188,509.60
  4. Step 4: Simplify right side
    277,739.20x = 78,411,077,095.92
  5. Step 5: Solve for x
    x = 78,411,077,095.92/277,739.20
  6. Step 6: Final answer
    x = 282,319.09

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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.