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Finding the Fourth Proportional to 387,225.90, 534,076.02 and 280,150.38

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Solution

The fourth proportional to 387,225.90, 534,076.02 and 280,150.38 is: 386,393.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,225.90 : 534,076.02 = 280,150.38 : x
  2. Step 2: Convert to fraction form
    387,225.90/534,076.02 = 280,150.38/x
  3. Step 3: Cross multiply
    387,225.90x = 534,076.02 × 280,150.38
  4. Step 4: Simplify right side
    387,225.90x = 149,621,599,951.89
  5. Step 5: Solve for x
    x = 149,621,599,951.89/387,225.90
  6. Step 6: Final answer
    x = 386,393.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.