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Finding the Fourth Proportional to 387,094.20, 580,929.30 and 200,009.40

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Solution

The fourth proportional to 387,094.20, 580,929.30 and 200,009.40 is: 300,162.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,094.20 : 580,929.30 = 200,009.40 : x
  2. Step 2: Convert to fraction form
    387,094.20/580,929.30 = 200,009.40/x
  3. Step 3: Cross multiply
    387,094.20x = 580,929.30 × 200,009.40
  4. Step 4: Simplify right side
    387,094.20x = 116,191,320,735.42
  5. Step 5: Solve for x
    x = 116,191,320,735.42/387,094.20
  6. Step 6: Final answer
    x = 300,162.91

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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.